Department of

Mathematics


Seminar Calendar
for events the day of Friday, November 8, 2013.

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Friday, November 8, 2013

4:00 pm in 345 Altgeld Hall,Friday, November 8, 2013

Approximate groups [after Hrushovski and Breuillard, Green, Tao]

Lou van den Dries (UIUC)

Abstract: Given a group G, a symmetric subset X containing the identity is said to be a K-approximate group if XX can be covered by at most K translates gX. Here K is a positive integer. The main result describes a finite K-approximate group as being essentially finite-by-nilpotent. (This is a rehearsal for my Bourbaki seminar talk on November 16.)

4:00 pm in 241 Altgeld Hall,Friday, November 8, 2013

Toric Geometry and Coxeter Arrangements

Nathan Fieldsteel (UIUC Math)

Abstract: To any hyperplane arrangement we can naturally associate two different toric varieties, one described by the sectors into which the arrangement partitions the ambient space, and the other described by the combinatorial intersection data of the arrangement. In the event that the reflection arrangement of a Coxeter group, there should be a close relationship between these two toric varieties. In this talk, we will cover the necessary background, provide some motivation, and discuss progress towards an explicit description of this relation.