## SIAM chapter seminar

Get to know what your fellow Ph.D students are working on!

Time: 24.11.2021 at 16:30 (directly after the Institutskolloquium)

Place: room 2.22 or join via Zoom. Details are announced via mailing lists "mathe-phd" and "SIAM-chapter-list", or ask Undine or Florian.

Speaker: Lior Tenenbaum

Topic:  On the weighted asymptotic number of simplicial spanning trees in random $$k$$-regular simplicial complexes

Abstract: In 1981, Mckay proved an asymptotic result regarding the number of spanning trees in random $$k$$-regular graphs. In this talk we will discuss an analogous result for random high dimensional $$k$$-regular simplicial complexes, showing that the weighted number of simplicial spanning trees in such complexes converge asymptotically almost surely to an explicit constant $$\zeta_{d,k}$$, when $$n$$ tends to infinity provided that $$k\geq 2d^2+2d\sqrt{d^2-1}$$. A key ingredient in the proof is the local convergence of such random complexes to the $$d$$-dimensional, $$k$$-regular arboreal complex, which allows us to generalize Mckay's result regarding the Kesten-Mckay distribution.

Next event: We plan to have a X-mas event on December 13th at 4 pm. Details will follow soon.

## Potsdam SIAM Student Chapter

We are happy to announce that we founded a SIAM Student Chapter in Potsdam in February 2021. See here for general information about SIAM student chapters.

The Student Chapter is an association of students at the University of Potsdam.

What are the benefits of being organised as a SIAM Student Chapter?

• student members of the Chapter can get free SIAM membership
• networking and collaboration opportunities with other Chapters
• funded participation in SIAM Annual Meetings
• funding for local activities like lunch discussions or lectures by guest speakers

Who can become a member?

• the chapter is open to everyone who is interested
• we especially encourage Master's students and PhD students to join

How to become a member?

• subscribe to our mailing list here: subscribe to our mailing list here or join one of our meetings
• there are no costs or duties for members.

General information:

• President: Undine
• Vice-President: Florian
• Secretary: Tobias
• Tresurer: Alberto
• You want to stay up to date? Then subscribe to our mailing list here.

If you have any questions feel free to ask the PhD representatives Undine and Florian. The faculty advisor of this Chapter is Prof. Dr. Melina Freitag.

## Previous Events

### SIAM SLAM

Can you summarize the content of your research in 3 minutes? Can you do it in an entertaining way? Then our SIAM Slam might be for you!

As a joint initiative of our SIAM Chapter and the SIAM Chapters of Aachen, Heidelberg and Magdeburg, we would like to invite you to SIAM Slam. There, different participants will present their theses or other scientific findings in a very short amount of time. The audience will choose the most entertaining and informative presentation.

The event will take place via zoom on the 10th of June at 18:00. Feel free to ask Florian for the login data.

Each participant will have exactly 3 minutes for their presentation. A slideshow is allowed, however, we advise reducing the number of slides. There will be a prize for the best presentation.

If you just want to be a spectator, you are welcome to join as well. Then, no registration is needed. In the second part of the event, we will run a short quiz based on the presentations. Here, the winner will also get a small prize. We plan to close the event with an opportunity to together play games online.

If you always wanted to try your hand at being a science communicator, this is your time. Who knows, maybe you are the next Richard Feynman or Stephen Hawking? :)