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Algebra Seminar

Seminars are held on Mondays at 17:00 in B3.02

Organisers: Adam Thomas and Gareth Tracey

(To see the abstract and title of a talk in the past, click on the speakers name to expand it)

Term 2:

15th January: Jonathan Gruber (York)

22nd January: David Stewart (Manchester)

29th January: Hong Yi Huang (Bristol)

5th February: Beth Romano (Kings College London)

12th February: Rudradip Biswas (Warwick)

19th February: Josh Maglione (Galway)

26th February: Martina Balagovic (Newcastle)

4th March: Paul Levy (Lancaster)

11th March: Eileen Pan (Warwick)

Title: Some coset actions in G_2(q)

Abstract: The coset actions of almost simple groups have sparked much interest and a lot has been done by various authors, but there remains much to explore. In this talk we consider \(G \cong G_2(q)\) for some prime power \(q\) and let \(H \le G\) be a maximal-rank maximal subgroup of \(G\). We describe the double cosets \(\{HgH: g \in G\}\) and the corresponding intersections \(H \cap H^g\). This in turn gives us the suborbit representatives and subdegrees of the coset action of \(G\) on \(H \backslash G \). Along the way, we give a brief overview of some known results in algebraic and finite groups of exceptional Lie type and explain how they are used in approaching this problem.

Term 1:

9th October: Christian Ikenmeyer (Warwick)

16th October: Stacey Law (Birmingham)

23rd October: Veronica Kelsey (Manchester)

30th October: Lucia Morotti (York)

6th November: Martin van Beek (Manchester)

13th November: Peiran Wu (St Andrews)

20th November: Matthew Chaffe (Birmingham)

27th November: Iulian Simion (Babeș-Bolyai University)

4th December: Tim Burness (Bristol)