Wed, 06 May 2009

11:30 - 12:30
ChCh, Tom Gate, Room 2

Derived Koszul duality

Ben Davison
(University of Oxford)
Wed, 10 Jun 2009

11:30 - 12:30
ChCh, Tom Gate, Room 2

Elliptic cohomology theories

Tobias Barthel
(University of Oxford)
Abstract

Using the theory of formal groups, Landweber´s exactness theorem provides means to construct interesting invariants of topological spaces out of geometric objects. I will illustrate the resulting connection between algebraic geometry and stable homotopy theory in the special case of elliptic curves.

Wed, 17 Jun 2009

11:30 - 12:30
ChCh, Tom Gate, Room 2

Introduction to Golod-Shafarevich groups

Mikhail Ershov
(University of Virginia)
Abstract

I will describe in detail the first construction of infinite, finitely generated torsion groups due to Golod in early 60s --

these groups are special cases of the so-called Golod-Shafarevich groups. If time allows, I will discuss some related constructions and open problems.

Wed, 29 Apr 2009

11:30 - 12:30
ChCh, Tom Gate, Room 2

Presheaves on 2-categories

Richard Williamson
(University of Oxford)
Abstract

Presheaves on categories crop up everywhere! In this talk, I'll give a

gentle introduction to 2-categories, and discuss the notion of a

presheaf on a 2-category. In particular, we'll consider which

2-categories such a presheaf might take values in. Only a little

familiarity with the notion of a category will be assumed!

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