15.05.2024, 14:00 - 16 00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Colloquium with Karen Strung (Prag) and Sven Raum (Potsdam)
Karen Strung (Prag), Sven Raum (Potsdam)
Giovanni De Gaetano (Humboldt Universität zu Berlin)
The determinant of the Laplacian Delta_k on k-differentials,
or on automorphic forms of weight k, on a compact Riemann surface played
an important role in the mathematical physics literature in the late '80s.
It turns out that the same object in the non-compact setting has an
arithmetic significance, but its natural definition is not convergent. In
this talk, after a review of the classical theory, we examine two
alternative definitions and related convergence results; the crucial point
to be examined is the behavior of the associated heat kernel at the missing
points.