Advanced Seminar on Group Theory

Lehrstuhl für Algebra und Zahlentheorie

Summer semester 2024

Where & When:
The usual time is Tuesday 10:30 - 12:00 in seminar room 03.73.
Content:
Advanced topics in and around group theory are discussed in short series of talks and guest lectures.
Organizers:
Prof. Dr. Benjamin Klopsch & Margherita Piccolo

Tue 16.04.24
Seminar room 03.73
all of us
Discussion of topics for this semester

TBA

Tue 23.04.24
Seminar room 03.73
TBA
TBA
Tue 30.04.24
Seminar room 03.73
TBA
TBA
Tue 07.05.24
Seminar room 03.73
TBA
TBA
Tue 14.05.24
Seminar room 03.73
TBA
TBA
Tue 21.05.24
Seminar room 03.73
TBA
TBA
Tue 28.05.24
Seminar room 03.73
TBA
TBA
Tue 04.06.24
Seminar room 03.73
TBA
TBA

Research talks

Tue 11.06.24
Seminar room 03.73
Hongyi Huang
Permutations, bases and low rank groups

Let G = GL(V), where V is a finite-dimensional vector space, and recall that any element in G is uniquely determined by its action on a basis for V. In addition, any two pairs of linearly independent vectors can be mapped to each other by an element of G. These two basic linear algebra properties can be interpreted in the language of permutation groups, which leads us naturally to the definitions of base and rank of a permutation group. In this talk, I will present some of my recent results on bases for primitive permutation groups, and I will report on recent progress with C.H. Li and Y.Z. Zhu towards a classification of the rank three groups.

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