|Time:||June 23, 2022, 2:00 p.m. (CEST)|
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On the occasion of the foundation of the Institute for Discrete Structures and Symbolic Computation and in the context of the Tübingen-Stuttgart.Seminar (TüSS), the following event will take place on
from 14:00 - 18:00 h
in the faculty room 8.122 PWR 57
of the university a colloquium on algebra and geometry will take place.
14:30 -15:30: Gunter Malle (Universität Kaiserlautern)
Title: Groups, Representations, and Decomposition Matrices
Abstract: Representations are the tool to study groups. Decomposition matrices connect the representations over fields of positive characteristic to ones over the complex numbers. I will give a short introduction to this setting and then discuss recent advances and open problems in particular in the realm of finite simple groups, where often computational techniques are helpful.
15:30 - 16:15: Kaffeepause
16:15 - 17:15: Klaus Altmann (Freie Universität Berlin)
Title: Infecting Z^2
Abstract: For a smooth projective toric variety of Picard rank two we classify all exceptional sequences of invertible sheaves which have maximal length. In particular, we prove that unlike non-maximal sequences, they
(a) remain exceptional under lexicographical reordering
(b) satisfy strong height constraints in the Picard lattice
(c) are full, that is, they generate the derived category of the variety.
Moreover, we determine the exceptional poset of those sequences and show how this poset governs the property „strongly exceptional“. (This is joint work with Frederik Witt, Stuttgart; see arXiv:2112.14637 [math.AG])
We would like to conclude the event with a joint dinner.