Forthcoming Seminars › Seminar Series

Algebra Kinderseminar

Wed, 14/10/2009
11:30 		Algebra Kinderseminar Add to calendar
NO SEMINAR
Wed, 21/10/2009
11:30 		Peter Pappas (Vassar College) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
On the Semisimplicity Problem for Group Rings
The semisimplicity problem is the long-standing conjecture that the group algebra $ KG $ of a $ p' $-group $ G $ over a field $ K $ of characteristic $ p\geqslant 0 $ has zero Jacobson radical. We will discuss recent advances in connection with this problem.
Wed, 28/10/2009
11:30 		Owen Cotton-Barratt (University of Oxford) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
When good groups go bad
Much of group theory is concerned with whether one property entails another. When such a question is answered in the negative it is often via a pathological example. We will examine the Rips construction, an important tool for producing such pathologies, and touch upon a recent refinement of the construction and some applications. In the course of this we will introduce and consider the profinite topology on a group, various separability conditions, and decidability questions in groups.
Wed, 04/11/2009
11:30 		Tobias Barthel (University of Oxford) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
The Quest for $ \mathbb{F}_\mathrm{un} $
We will present different ideas leading to and evolving around geometry over the field with one element. After a brief summary of the so-called numbers-functions correspondence we will discuss some aspects of Weil's proof of the Riemann hypothesis for function fields. We will see then how lambda geometry can be thought of as a model for geometry over $ \mathbb{F}_\mathrm{un} $ and what some familiar objects should look like there. If time permits, we will explain a link with stable homotopy theory.
Wed, 11/11/2009
11:30 		Colva Roney-Dougal (St Andrews) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
Matrix groups: From geometry to homomorphisms
Wed, 18/11/2009
11:30 		David Craven (University of Oxford) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
The Major Problems in Group Representation Theory
The representation theory of groups is surrounded by deep and difficult conjectures. In this talk we will take a tour of (some of) these problems, including Alperin's weight conjecture, Broué's conjecture, and Puig's finiteness conjecture.
Wed, 25/11/2009
11:30 		Algebra Kinderseminar Add to calendar
NO SEMINAR
Wed, 02/12/2009
11:30 		Matthew Clarke (University of Cambridge) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
Generalized Gelfand–Graev representations for finite groups of Lie type
This talk is about the ordinary representation theory of finite groups of Lie type. I will begin by carefully reviewing algebraic groups and finite groups of Lie type and the construction and properties of (ordinary) Gelfand–Graev characters. I will then introduce generalized Gelfand–Graev characters, which are constructed using the Lie algebra of the ambient algebraic group. Towards the end I hope to give an idea of how generalized Gelfand–Graev characters can and have been used to attack Lusztig's conjecture and the role this plays in the determination of the character tables of finite groups of Lie type.

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

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