Zeit: | 23. Juni 2022, 14:00 – 18:00 Uhr |
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in Präsenz - im Fakultätssaal 8.122 | |
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Anlässlich der Gründung des Instituts für diskrete Strukturen
und symbolisches Rechnen und im Rahmen des Tübingen-Stuttgart.Seminars (TüSS) findet am
Donnerstag, 23.6.2022
von 14:00 – 18:00 Uhr
im Fakultätssaal 8.122 PWR 57
der Universität ein Kolloquium zu Algebra und Geometrie statt.
Es sprechen:
14:30 Uhr: Gunter Malle (Universität Kaiserlautern)
Titel: 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):
Titel: 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])