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SS 2021

05.05.2021 um 14:15 Uhr, Meetingroom, Code: 694168

Wataru Kai (Tohoku University, Japan)

The Green-Tao theorem for number fields

Green and Tao famously proved that there are arbitrarily long arithmetic progressions of prime numbers. Less widely known, soon after, Tao proved an analogous statement for Gaussian primes. I discuss the framework of their proofs and my recent generalization of their results to number fields obtained in joint work with my (former) Tohoku colleagues M. Mimura, A. Munemasa, S. Seki and K. Yoshino.

12.05.2021 um 14:15 Uhr

Ahina Nandy (Universität Osnabrück)

Homological algebra

19.05.2021 um 14:15 Uhr

Daniel Uschogov (Universität Osnabrück)

Model categories

26.05.2021 um 14:15 Uhr

Xiaowen Dong (Universität Osnabrück)

Triangulated categories

09.06.2021 um 14:15 Uhr, Meetingroom, Code: 694168

Hadrian Heine (Universität Osnabrück)

Algebraic models for p-adic homotopy types

In this talk I will recall Mandell's theorem classifying connected p-complete nilpotent spaces of finite p-type by E_∞-algebras over the algebraic closure of the field with p-elements. After that I discuss a variant of Mandell's theorem via E_∞-coalgebras, which is joint work in progress with Manfred Stelzer.

16.06.2021 um 14:15 Uhr

Xiaowen Dong (Universität Osnabrück)

Stable homotopy category SH

23.06.2021 um 14:15 Uhr

Ahina Nandy (Universität Osnabrück)

Stable ∞-categories

30.06.2021 um 14:15 Uhr, Meetingroom, Code: 694168

Fangzhou Jin (Tongji University, China)

Gersten complexes and real étale sheaves

We discuss a connection between coherent duality and the Verdier-type duality on real schemes via a Gersten-type complex. This is a joint work with H. Xie.

07.07.2021 um 14:15 Uhr

Daniel Uschogov (Universität Osnabrück)

t-structure

14.07.2021 um 14:15 Uhr, Meetingroom, Code: 694168

Lie Fu (Nijmegen/Lyon)

Categorical dynamical systems and their entropy

We view a triangulated category endowed with an endofunctor as a categorical dynamical system. In this setting, Dimitrov, Haiden, Katzarkov and Kontsevich defined the categorical entropy, and further developments showed its profound connections to various branches of mathematics. In this talk, I will present my joint work with Yu-Wei Fan and Genki Ouchi on a refinement of this theory by the so-called categorical polynomial entropy. I will show the richness of this theory by ample examples and highlight its connection to classical dynamical systems.