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Vorschau
Kolloquium "Semigroups: a short introduction
Order-preserving transformation semigroups"
Potsdam, Am neuen Palais 10, Haus 9, Raum 1.02
Mittwoch, 10.07.2013 14:00 Uhr
Vitor H. Fernandes (Universidade Nova de Lisboa)
14:00 Uhr: Semigroups: a short introduction
A semigroup is one of the most elementary mathematical objects: just a set with an
associative binary operation. It is therefore not surprising that semigroups have a wide
spectrum of applications: in mathematics, from theoretical computer science to di erential
equations, and in this way in many other disciplines including physics, chemistry, biology,
engineering and economics. In this talk, on a strictly algebraic perspective, we present some
basic concepts, results and examples that play a fundamental role in semigroup theory:
regularity, Green's equivalences and transformation semigroups.
15:30 Uhr: Order-preserving transformation semigroups
We present and discuss a range of results concerning semigroups of transformations that
preserve the order of a chain starting with properties discovered and published in the 1960s
and ending with others recently published or even submitted for publication.
Fernandes.pdf
Seminar "Topics in Geometric Analysis"
Potsdam, Am Neuen Palais 10, Haus 8, Raum 0.58
Donnerstag, 20.06.2013 16:15 Uhr
16:15 Uhr : Katarína Bellová (MPI Leipzig)
Nodal sets of Steklov eigenfunctions
17:45 Uhr : Simon Blatt (Karlsruhe)
The gradient flow of the Möbius energy
Diese Vorträge sind Teil des Seminars "Topics in Geometric Analysis", das regelmäßig stattfindet.
Den aktuellen Vortragsplan und abstracts finden Sie auf folgender Webseite:
http://www.math.uni-potsdam.de/prof/ab_partdiff/Forschungsveranstaltungen/
Rückblick
Videoseminar "Regularity issues for local minimizers"
Albert-Einstein-Institut, Raum 1.63
Donnerstag, 13.06.2013 16:00 Uhr
Matteo Focardi (Universität Florenz)
abstract:
In this talk I shall focus on the higher integrability
property enjoyed by the approximate gradients of local minimizers
of the 2d Mumford-Shah energy. Related regularity issues shall be
also discussed.
This is joint work with C. De Lellis (Universität Zürich).
Das Seminar wird per Video von Emanule Spadaros Gruppe in Leipzig (http://www.mis.mpg.de/spadaro/index.html) übertragen.
Kolloquium "Complexity as energy"
Potsdam, Am neuen Palais 10, Haus/Raum (TBA)
Dienstag, 11.06.2013 14:00 Uhr
14:00 Uhr: Videodokumentation
Late Style - Yuri Manin Looking Back on a Life in Mathematics
60 Minuten, 2012, in englischer Sprache
Produktion und Realisation: Agnes Handwerk und Harrie Willems
Yuri Manin (MPI Bonn)
16:00 Uhr: Complexity as energy
A great XIX century's paradigm change in theoretical physics came when the
di erential equations of motion were replaced by/made corollaries of a
principle of the minimal action.
In order to describe computation, Alan Turing in the 1930's introduced the
physical image of a machine/discrete automaton and time evolution of its
states. Then in the 1950-1960's Israel Gelfand and his collaborators suggested
that a principle of minimal (inter)action should be used in descriptions of
dynamics of such automata.
In this talk I will explain how the Kolmogorov complexity function (the
length of the maximal compression") can be used as energy/action in
mathematical models related to two problems:
a) Zipf's law, describing frequency of words in texts;
b) computation of asymptotic bounds for error-correcting codes.
Manin.pdf
Algebraic aspects of renormalisation
Three videoconference talks
Potsdam, Am neuen Palais 10, Haus 2, Raum 0.15
Freitag, 07.06.2013 14:00 Uhr
Frédéric Patras (CNRS-Univerté de Nice)
About logarithmic derivatives
abstract:
The Dynkin idempotent plays a fundamental role in the theory of Lie
algebras where it encodes logarithmic derivatives as well as in many applications
of the theory of noncommutative representation of symmetric algebras,
bases of Lie algebras, Campbell-Hausdorff formulae, quantum field theory...
I shall give a brief presentation of the classical theory of Dnykin operators and of recent results
(joint work with M. Bauer, R. Chetrite, K. Ebrahimi-Fard and F. Menous).
Mittwoch, 05.06.2013 09:00 Uhr
09:00 Uhr: Dominique Manchon (University of Clermont-Ferrand)
TBA
10:30 Uhr: Susama Argawalla (University of Hamburg)
Combinatorial Dyson Schwinger equations and applications
abstract:
The Dyson Schwinger equations define important relations for perturbative field theories.
In this talk, I review the combinatorial avatar of these relations in the context of rooted trees.
I develop their applications to field theory calculations, multiple polylogarithms, and informations theory.
"Topics in Geometric Analysis"
Albert-Einstein-Institut, Raum 0.01
Donnerstag, 06.06.2013 16:15 Uhr
16:15 Uhr: Vlad Moraru
On Area Comparison and Rigidity Involving the Scalar Curvature
17:45 Uhr: Vincent Feuvrier
Approximating solutions to the Plateau problem using uniform polyhedric granulometry
19:30 Uhr: Abendessen im Loft (http://www.restaurant-loft.de)
Reservierung bis 05. Juni 2013 erforderlich,
Email: Ulrich.Menne@aei.mpg.de
Web: http://www.math.uni-potsdam.de/prof/ab_partdiff/Forschungsveranstaltungen
"Simons Lecture"
"Mathematics of planet earth"
Freien Universität Berlin; Henry-Ford-Bau
Donnerstag, 23.05.2013 17:00 Uhr
Rupert Klein
Klimathematik - Modell, Daten und Strukturen
Simons-Lecture_FUBerlin_23052013.jpeg
"Topics in Geometric Analysis"
Albert-Einstein-Institut, Raum 0.63
Donnerstag, 23.05.2013 16:15 Uhr
Programm (Zusammenfassungen & Lageplan siehe Weblink)
16:15-17:15 Reto Müller
Dynamical stability and instability of Ricci-flat metrics
17:45-18:45 Neshan Wickramasekera
A sharp strong maximum principle for singular minimal hypersurfaces
19:30 Abendessen im Loft (http://www.restaurant-loft.de)
Reservierung bis 21. Mai 2013 erforderlich,
Email: Ulrich.Menne@aei.mpg.de
Web:
http://www.math.uni-potsdam.de/prof/ab_partdiff/Forschungsveranstaltungen
Wir werden bei mindestens einem Vortrag einen Video-Link zur Gruppe von
Emanuele Spadaro in Leipzig
(http://www.mis.mpg.de/spadaro/index.html)
schalten.
Kolloquium "Chemotaxis - eine Einleitung &
Mathematische Modellierung von chemotaktischer Zellbewegung"
Potsdam, Am Neuen Palais 10, Haus 9, Raum 1.02
Donnerstag, 23.05.2013 14:00 Uhr
Angela Stevens (Münster)
14:00 Uhr: Chemotaxis - eine Einleitung
Im Vortrag werden die Grundgleichungen der Chemotaxis erläutert und ihr Bezug zur
Zellbewegung und Selbstorganisation in biologischen Modellorganismen. Im räumlich
eindimensionalen Fall werden die stationären Lösungen behandelt und deren qualitatives
Verhalten in Abhängigkeit von den Parametern formal untersucht.
15:30 Uhr: Mathematische Modellierung von chemotaktischer Zellbewegung
Chemotaktische Zellbewegung ist Grundlage vieler entwicklungsbiologischer
Strukturbildungsprozesse. Fragen nach Details der Musterbildung und Zellaggregation
spielen hierbei eine wichtige Rolle. Eine Reihe von Modellansätzen reflektieren die
unterschiedliche Art der chemotaktischen Zellbewegung und Verarbeitung des attraktiven
Signals. Im Vortrag werden verschiedene Modelle vorgestellt, in Bezug zu einander gesetzt
und im Kontext der biologischen Fragestellung analysiert.
Stevens.pdf
Einladung zum 100. Kolloquium zur Mathematikdidaktik
Potsdam, Am Neuen Palais 10, Haus 8, Raum 0.59
Dienstag, 14.05.2013 14:30 Uhr
14:30 Uhr: Kaffee/Tee
15:00 Uhr: Volker Ladenthin (Bonner Zentrum für Lehrerbildung)
Mathematik und Bildung
16:00 Uhr: Kaffeepause
16:30 Uhr: Peter Gallin (Zürich)
Vom Sinn des Mathematikunterrichts
Kontaktadresse:
Sekretariat der Didaktik der Mathematik
Universität Potsdam
Am Neuen Palais 10
D-14469 Potsdam
Tel.: 0331/977-1499
Fax.: 0331/977-1469
Da die Teilnehmerzahl begrenzt ist, bitten wir um telefonische Voranmeldung oder unter mathdidakt@uni-potsdam.de.
Die Vorträge sind als Fortbildungsveranstaltung für Lehrer aller Schularten anerkannt.
Einladung
Kolloquium "Optimal Transportation, Gradient Flows and Geometry -
Geometric Analysis on the Space of Metric Measure Spaces"
Potsdam, Am Neuen Palais 10, Haus 08 Raum 0.58
Mittwoch 24.04.2013 14:00 Uhr
Karl-Theodor Sturm (Universität Bonn)
14:00 Uhr: Optimal Transportation, Gradient Flows and Geometry
We give a brief introduction and survey on recent progress in optimal transportation on
manifolds and metric spaces.
In particular, we present the Riemannian structure on the space P(M) of probability
measures induced by optimal transports on a given Euclidean or Riemannian space M. And
we recall the characterization of the heat equation on M as the gradient flow for the relative
entropy on the L2-Wasserstein space P(M).
Finally, we explain how convexity properties of the relative entropy on the Wasserstein space
are related with functional inequalities (e.g. spectral gap, logarithmic Sobolev, Bakry-Emery inequalities).
15:50 Uhr: Geometric Analysis on the Space of Metric Measure Spaces
The space X of all metric measure spaces (X, d, m) plays an important role in image analysis,
in the investigation of limits of Riemannnian manifolds and metric graphs as well as in the
study of geometric flows that develop singularities. We show that the space X – equipped
with the L2-distortion distance ∆ – is a challenging object of geometric interest in its own. In
particular, we show that it has nonnegative curvature in the sense of Alexandrov. Geodesics
and tangent spaces are characterized in detail. Moreover, classes of semiconvex functionals
and their gradient flows on X are presented.
Einladung
Seminar "Topics in Geometric Analysis"
Potsdam, Am Neuen Palais 10, Haus 9, Raum 1.14
Donnerstag, 11.04.2013 16:15 Uhr
16:15 Uhr: Filip Rindler (Cambridge)
Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms
17:45 Uhr: Barbara Nelli (Universitá di L'Aquila)
Minimal surfaces with two ends in H^2 x R
Diese Vorträge sind Teil des Seminars "Topics in Geometric Analysis",
das regelmäßig stattfindet. Den aktuellen Vortragsplan finden Sie auf folgender Webseite:
Partielle Differentialgleichungen, Forschungsveranstaltungen
International Workshop: "Geometric and Singular Analysis"
Potsdam, Am neuen Palais 10, Haus 8
March 25-29, 2013
Organizing committee:
W. Bauer (Göttingen)
H.-J. Flad (München)
K. Furutani (Tokyo)
S. Paycha (Potsdam)
J. Rowlett (Göttingen)
B.-W. Schulze (Potsdam)
I. Witt (Göttingen)
Birkhäuser is planning to be present with a book exhibition.
For further information please contact one of the organizers.
Registration may be coordinated via the e-mail address of W. Bauer:
wbauer@uni-math.gwdg.de
Hotel_information
Poster
Reg_Participants_Potsdam_2013
Potsdam_timetable_2013
Programm_2013
Coupling method with applications to ergodicity, limit theorems, and spectral properties of Markov processes
Potsdam, Am Neuen Palais 10, Haus 8, Raum 0.58
Freitag, 08.03.2013 10:00 Uhr
Alexei Kulik (Kiev, Ukraine)
abstract:
Versions of the Lyapunov condition. Spectral gap I: time-reversible processes.
Spectral gap II: time-irreversible processes, interpolation theorems approach.
Coupling method with applications to ergodicity, limit theorems, and spectral properties of Markov processes
Berlin, Humboldt-Universität, Raum 1.023 (BMS Lounge)
Donnerstag, 07.03.2013 10:00 Uhr
Alexei Kulik (Kiev, Ukraine)
abstract:
LLN and CLT for stationary Markov processes. Coupling approach for proving
LLN and CLT for non-stationary Markov processes. Averaging and diffusion
approximation.
Coupling method with applications to ergodicity, limit theorems, and spectral properties of Markov processes
Berlin, Technische Universität, Raum MA 748 (RTG Lounge)
Dienstag, 05.03.2013 10:00 Uhr
Alexei Kulik (Kiev, Ukraine)
abstract:
Doeblin theorem on uniform geometrical ergodicity; Harris theorem (i.e the
extension of the Doeblin theorem with the recurrence rate controlled via a
Lyapunov type condition); Dobrushin lemma and the above theorems with the
minorization condition replaced by the Dobrushin type irreducibility condition;
generalized Harris theorem for a metric weaker than the total variation metric (by
Hairer, Mattungly and Scheutzow).
Kulik.pdf
Expansion by regions
Potsdam, Am Neuen Palais 10, Haus 08 Raum 0.53
Mittwoch 27.02.2013 13:00 Uhr
Vladimir Smirnov (Staatsuniversität Moskau und Humboldt Universität)
abstract:
If a given Feynman integral depends on kinematic invariants and
masses which essentially differ in scale, a natural idea is to
expand it in ratios of small and large parameters. As a result,
the integral is written as a series of simpler quantities than
the original integral itself and it can be substituted by a
sufficiently large number of terms of such an expansion.
For limits typical of Euclidean space (for example, the off-shell
large-momentum limit or the large-mass limit), one can write down
the corresponding asymptotic expansion in terms of a sum over
certain subgraphs of a given graph. For limits typical of
Minkowski space, the universal strategy of expansion by regions
is available. To reveal regions relevant to a given limit one can
apply a recently developed geometrical algorithm and the
corresponding public computer code. Within this algorithm,
regions correspond to bottom convex envelopes of the Newton
polytope of a polynomial present in the parametric representation
a given Feynman integral. Expansion by regions is also formulated
for parametrical integrals not necessarily related to Feynman integrals.
Doktorandenseminar "The large scale structure from lyman emitters at 2<z<4.5"
Potsdam, Am Neuen Palais 10, Haus 19 Raum 1.19
Donnerstag 21.02.2013 16:00 Uhr
Maria del Pilar Bonilla Tobar
abstract:
High-redshift galaxy surveys are possibly the best method of
directly assessing the influence of Dark Energy (DE) on structure formation
in the early Universe.
A comparison of such high-z observations and those obtained for the local
Universe can then be used to shed light on this mysterious component and its
redshift evolution.
The Hobby-Eberly Telescope Dark Energy eXperiment (HETDEX) is a state of the
art survey which has been planned to measure the effects of
DE on the galaxy distribution in the redshift range 1.9 < z < 3.5, by
observing
Lyman Alpha Emitting galaxies (LAEs). Here we explore the effects of
DE on structure
assembly at the redshifts z ~ 2,3,3.7, 4.5 by constructing mock catalogues of
LAEs using N-body Dark Matter simulations
Kolloquium "Macht, Minister und Mathematik -
Mathematische Modelle für politische Abstimmungsprozesse"
Potsdam, Am Neuen Palais 10, Haus 08 Raum 0.58
Mittwoch 13.02.2013 14:00 Uhr
Werner Kirsch (FernUniversität Hagen)
14:00 Uhr: Macht, Minister und Mathematik
In diesem Vortrag erläutern wir, wie Mathematik für die Analyse von Machtstrukturen in
politischen Gremien eingesetzt werden kann. Hauptbeispiel ist der Ministerrat der EU, in
dem die verschiedenen Länder je nach Bevölkerungszahl unterschiedliche Stimmgewichte
bekommen. Welchen Einfluss erhalten die Länder und ihre Repräsentanten dadurch? Und vor
allem: Wie lässt sich eine "gerechte" Stimmverteilung realisieren.
15:50 Uhr: Mathematische Modelle für politische Abstimmungsprozesse
Wir werden mathematische Modelle für Abstimmungsverhalten in Wahlen und in politischen
Gremien vorstellen und untersuchen, welche Konsequenzen sich auf dieser Basis für die
Auswahl eines Abstimmungsverfahrens ergeben. Insbesondere interessieren wir uns für
verschiedene Korrelationsstrukturen im Wählerverhalten und die Konsequenzen für das
Abstimmungssystem.
Einladung
Heat kernel expansions, ambient metrics and conformal invariants
Potsdam, Am Neuen Palais 10, Haus 08 Raum 0.53
Diesntag 12.02.2013 15:15 Uhr
Andreas Juhl (University Uppsala & SFB 647 "Raum-Zeit-Materie" HU Berlin)
Abstract:
The conformal invariance of the conformal Laplacian has numerous consequences for its spectral theory on compact manifolds.
It is reflected in the conformal behaviour of the corresponding heat-kernel coefficients,
the value at $s=0$ of its zeta function and its determinant.
In the talk, I will describe some new links between the spectral theory of the conformal Laplacian and conformal invariants.
In fact, the Fefferman-Graham ambient metric leads to high-order perturbations of the conformal Laplacian with
interesting conformal properties.
We shall use its heat kernel coefficients to construct a new sequence of conformal variational functionals.
Eine Nachsitzung ist im "Onkel Emil" ab 17:15 Uhr geplant.
Interessenten sind herzlich willkommen.
Seminar "Topics in Geometric Analysis"
Potsdam, Albert-Einstein-Institut, Raum 0.01
Dienstag 07.02.2013 14:45 Uhr
Programm:
16:15 - 17:15 Brian Krummel "Structure of the branch set of harmonic functions and minimal submanifolds"
Abstract:
I will discuss some recent results on the structure of the
branch set of multiple valued solutions to the Laplace's equation and the
minimal surface system. It is known that the branch set has Hausdorff dimension
n-2. I will show the branch set is countably (n-2)-rectifiable using a method
for establishing asymptotics near branch points, which is based on a
modification of the frequency function monotonicity formula due to F. J.
Almgren and an adaptation to higher-multiplicity of a "blow up" method due to
L. Simon that was originally applied to "multiplicity one" classes of minimal
submanifolds satisfying an integrability hypothesis. This is joint work with
Neshan Wickramasekera.
17:45 - 18:45 Verena Bögelein (Erlangen) "Quantitative isoperimetric inequalities in geometric settings"
Abstract:
The aim of this talk is twofold. In the first part we establish a quantitative isoperimetric inequality in higher codimension.
In a certain sense such an inequality can be regarded as a stability result (second order Taylor approximation) of Almgren’s optimal isoperimetric.
In particular, we prove that for any closed (n − 1)-dimensional
n+kmanifold Γ in R the following inequality
D(Γ) ≥ Cd2(Γ)
holds true. Here, D(Γ) stands for the isoperimetric gap of Γ, i.e. the deviation in
measure of Γ from being a round (n − 1)-dimensional sphere and d(Γ) denotes a
natural generalization of the Fraenkel asymmetry index of Γ to higher codimensions.
It measures in a generalized sense the distance of Γ from spheres enclosing the same
volume as Γ.
In the second part of the talk we are interested in the isoperimetric inequality on
manifolds. As the simplest manifold we will consider the sphere. It was shown by
E. Schmidt that geodesic balls are the unique isoperimetric sets on the sphere. We
will present a strong quantitative version of this result. More precisely, we prove
that for any set E ⊂ Sn of finite perimeter there holds
D(E) := (P(E) − P(Bθ)) / P(Bθ) ≥ Cβ2 (E),
where Bθ ⊂ Sn is a geodesic ball with the same volume as E and β denotes the
L2 -oscillation index of ∂E.
In principle the oscillation index is given by
β(E) := α(E) + term counting the L2 -oscillation of ∂E,
where α denotes the Fraenkel asymmetry index. The advantage of such a quantity
stems from the fact that the above quantitative isoperimetric inequality is sharp in
the sense that also the reverse inequality holds true. Both results are joint work
with Frank Duzaar and Nicola Fusco.
Web:
http://www.math.uni-potsdam.de/prof/ab_partdiff/Forschungsveranstaltungen
Es wird ein Video-Link zur Gruppe von Emanuele Spadaro in Leipzig geschaltet.
(ttp://www.mis.mpg.de/spadaro/index.html)
Kolloquium des Sonderforschungsbereiches "Raum Zeit Materie"
Potsdam, Am Neuen Palais 10, Haus 8, Audimax
Dienstag 05.02.2013 14:45 Uhr
Programm:
14:45 – 15:15 Dr. Batu Güneysu (HU Berlin): "Path integrals from Brownian motion"
15:45 – 16:45 Prof. Dr. Peter Teichner (MPI Bonn): "Path integrals via algebraic topology?"
17:15 – 18:15 Dr. Sonia Mazzucchi (Trent, Italy): "Feynman Path Integrals as Infinite Dimensional Oscillatory Integrals"
abstracts:
Prof. Dr. Peter Teichner (MPI Bonn): "Path integrals via algebraic topology?"
We'll discuss the structural analogies between path integrals and push-forwards in certain generalized cohomology theories. As a consequence, we propose a new way of rigorously defining the 2-dimensional super symmetric Sigma model, at least up to deformation.
This is a report on joint work with Stephan Stolz.
Dr. Sonia Mazzucchi (Trent, Italy): "Feynman Path Integrals as Infinite Dimensional Oscillatory Integrals"
Since their introduction in the 40s Feynman path integrals have represented a suggestive and powerful tool for the description of the dynamics of several quantum systems.
On the other hand, it is commonly believed that they are ill defined from a mathematical point of view and represent just an heuristic computational tool.
In this talk I shall give an overview of the possible rigorous mathematical definitions of Feynman path integrals, focusing on the ”infinite dimensional oscillatory integrals”,
a generalization of classical oscillatory integrals to the case where the integration is performed on an infinite dimensional real separable Hilbert space.
5. Instituts-Doktorandentag
Potsdam, Am Neuen Palais 10, Haus 08 Foyer Raum 0.60
Mittwoch 30.01.2013 14:00 Uhr
14:15 Ramona Ziese (Geometrie)
Electroelasticity
We study an elastic body that is deformed by an external electromagnetic field. The body's deformation is governed
by physical balance laws – like conservation of mass and balance of momentum - that can be formulated as a system
of PDEs. Additional relations describe the properties of the material the body is made of. Given an initial state of the
body and the external electromagnetic field, can we determine the body's deformation?
14:45 Ihsane Malass (Analysis)
Counting integer points on cones and the Euler- Maclaurin formula
How to assign a finite value to an a priori infinite quantity is a question that arises in combinatorics on cones and in
number theory. We shall discuss different aspects of this renormalisation issue.
15:15 Matthias Ludewig (Geometrie)
Brownian Motion and Path Integrals
We will try to understand how the movement of microscopic molecules in a glass of water is related to heat flux,
quantum mechanics, partial differential equations and geometry.
Im Anschluss findet um 17 Uhr im Auditorium Maximum die Absolventenfeier des Instituts statt.
Doktorandentag.pdf
Kolloquium "Streifen markieren und Durchpausen -
Lernumgebungen für die Grundschule zur Abbildungsgeometrie in der Ebene"
Potsdam, Am Neuen Palais 10, Haus 08 Raum 0.59
Dienstag 29.01.2013 16:45 Uhr
Bernd Wollring
Ein modernes Mathematikbild für die Grundschule schließt den Inhaltsbereich "Raum und Form" ein und betont darin Kompetenzen zu Abbildungen.
Das meint in diesem Kontext das einander Zuordnen und das Verändern ebener Figuren.
Wir stellen dazu drei Lernumgebungen mit den Techniken "Streifen-Kopieren", "Transparentkopieren" und "Tangram" vor und diskutieren sie
anhand einer Check-Liste für Lernumgebungen in Bezug auf ihren Nutzen für die Grundschule.
Besondere Beachtung erfährt dabei das Potenzial der Lernumgebungen zum elementaren aktiven Konstruieren, zur Sprachschöpfung und zu sozialen Ko-Konstruktionen.
Einladung
Seminar "Topics in Geometric Analysis"
Potsdam, Am Neuen Palais, Haus 19 Raum 1.21
Donnerstag 17.01.2013 16:15 Uhr
16:15 Uhr: Emanuele Spadaro
Semicontinuous energies for multiple valued functions
17:45 Uhr: Felix Jachan
Aspects of area preserving Willmore Flow
Diese Vorträge sind Teil des Seminars "Topics in Geometric Analysis",
das regelmäßig stattfindet. Den aktuellen Vortragsplan finden Sie auf folgender Webseite:
Partielle Differentialgleichungen, Forschungsveranstaltungen
Spectral gap bounds for a Ornstein Uhlenbeck "pinball"
Potsdam, Am Neuen Palais, Haus 22 Raum 1.28
Donnerstag 17.01.2013 15:45 Uhr
Emmanuel Boissard (WIAS, Berlin)
Abstract:
we consider the standard Orstein Uhlenbeck process (Brownian motion + linear drift)
in the presence of a reflecting convex obstacle. The long-time behaviour of
the process can be estimated though functional inequalities such as the spectral gap (Poincare) inequality.
However in this set-up the usual techniques for evaluating the constant appearing in this inequality do not give appropriate results.
We describe some techniques to obtain interesting upper and lower bounds for this constant,
and outline many open questions. This is based on ongoing work with P. Cattiaux and A. Guillin.
Kolloquiumsvortrag "About the history of mathematics review journals throughout the 20th century"
Potsdam, Am Neuen Palais, Haus 08, Raum 0.53
Mittwoch, 16.01.2013 16:00-18:00 Uhr
Michèle Audin (Université de Strasbourg)
14:00 Uhr About the history of mathematics review journals throughout the 20th century
15:30 Uhr: The reviews' war -- around a Comptes rendus Note of André Weil in 1940
Abstract:
About the history of mathematics review journals throughout the 20th century
I will sketch the history of the "Jahrbuch über die Fortschritte der Mathematik", the
foundation in 1931 of the "Zentralblatt fü Mathematik und ihre Grenzgebiete" and that in
1940 of the "Mathematical Reviews" and describe the differences between these three
Journals.
The reviews' war -- around a Comptes rendus Note of André Weil in 1940
In 1940, from a French prison, André Weil sent a paper to the Académie des sciences in
Paris, in which he claimed he was able to prove, among other results, the Riemann
hypothesis over finite fields. This was a big step for mathematics, but also another step in the
rivalry between Weil and his German colleague Helmut Hasse. The latter was, in 1940,
enrolled in the Wehrmacht. I will report on the many wars involved in this story, which I
analyze on the grounds of Weil’s paper in the three reference journals.
Audin.pdf
Seminar "TBA"
Potsdam, Am Neuen Palais, Haus 19, Raum 1.19
Donnerstag, 10.01.2013 16:00-18:00 Uhr
Andreas Beinrucker
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