For students at Exemplary studies

Why is there a sudden and sharp drop in births occurring in so many countries in the 2010-20 decade?

Speaker: Michael Borinsky (The Institute for Theoretical Studies at ETH) Abstract:I will present new results on the asymptotic growth rate of the Euler characteristic of Kontsevich's commutative graph complex. These results imply the same asymptotic growth rate for the top-weight Euler characteristic of M_g, the moduli space of curves, due to a recent work by Chan, Galatius and Payne. Further, they establish the existence of large amounts of unexplained cohomology in this graph complex. I will explain the role of this graph complex from the perspective of M_g's cohomology.

Read more about the Teaching Committee: https://www.sdu.dk/da/om_sdu/institutter_centre/imada_matematik_og_datalogi/ledelse_administration/raad_naevn_udvalg/undervisningsudvalg

Speaker: Zhi-Zhen Wang(Trinity College Dublin)Abstract:Eberhardt-Mizera (2023) evaluated the one-loop bosonic and Type I open string amplitude via Rademacher method. In this talk, we will introduce two other different strategies to treat the modular integrals appearing in one-loop bosonic and Type I amplitudes of both open and closed strings, and in particular their analytic continuation based on a string theoretic analog of the iε-prescription of quantum field theory. We will identify the two strategies and evaluate various zero- and two-point amplitudes. Beyond the perfect agreement to that obtained from the Rademacher method, our approach further provided an exact expression as a combination of three partition functions in terms of a temperature variable. While each individual term depends on this variable, the sum does not. In particular, the imaginary part of the one-loop amplitude, which accounts for the decay widths, has a compact analytical form. Its relation to the Regge limit will also be discussed. This talk is based on our recent work 2411.02517.

What key strategies should Denmark prioritise during its EU Presidency?

All staff at IMADA are invited to the Departmental Fora.Meeting notice and agenda will be sent by email.

Speaker: Jonte Gödicke (University of Hamburg) Abstract:TBA

Speaker: Wenyuan Li (University of Southern California) Abstract:Consider sheaves on manifolds with microsupport on a singular Legendrian subset inside the cosphere bundle, which are in particular (real) constructible sheaves. By microlocalization, one can define a sheaf of categories on the singular Legendrian in the cophere bundle, called microsheaves. We will show that the microlocalization functor from sheaves to microsheaves together with its left adjoint admits a strong smooth relative Calabi-Yau structure. This is a non-commutative analogue of the orientation class which induces the Poincare-Lefschetz duality on manifolds with boundary. Under some extra assumptions, we can show that the adjunction is a spherical adjunction. We will explain the connections to Fukaya categories and Legendrian contact homologies. This is joint work with Chris Kuo.

Read more about the Teaching Committee: https://www.sdu.dk/da/om_sdu/institutter_centre/imada_matematik_og_datalogi/ledelse_administration/raad_naevn_udvalg/undervisningsudvalg