All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.
Go to next semester, Spring 2016.
|September 4||Isaac Goldbring (UIC)||Andrews/Lempp|
|September 11||Doron Puder (IAS)||Word-Measures on Groups||Gurevich|
|September 18||Izzet Coskun (UIC)||The geometry of points in the plane||Erman|
|September 25||Abbas Ourmazd (UW-Milwaukee)||Mitchell|
|October 9||Igor Mezic (UC Santa Barbara)||Budisic, Thiffeault|
|October 16||Hadi Salmasian (Ottawa)||Gurevich|
|October 23||Wisconsin Science Festival.|
|October 30||Ruth Charney (Brandeis)||Dymarz|
|November 6||Reserved *S|
|November 27||University Holiday||No Colloquium|
September 4: Isaac Goldbring (UIC)
September 11: Doron Puder (IAS)
Title: Word-Measures on Groups.
Abstract: Let w be a word in the free group on k generators, and let G be a finite (compact) group. The word w induces a measure on G by substituting the letters of w with k independent uniformly (Haar) chosen random elements of G and evaluating the product. Questions about word-measures on groups attracted attention in recent years both for their own sake and as a tool to analyze random walks on groups.
We will explain some properties of word-measure, give examples and state conjectures. We will also talk about recent results regarding word-measures on symmetric groups and word-measures on unitary groups.
September 18: Izzet Coskun (UIC)
Title: The geometry of points in the plane
Abstract: Grothendieck's Hilbert scheme of points is a smooth compactification of the configuration space of points in the plane. It has close connections with combinatorics, representation theory, mathematical physics and algebraic geometry. In this talk, I will survey some of the basic properties of this beautiful space. If time permits, I will discuss joint work with Arcara, Bertram and Huizenga on codimension one subvarieties of the Hilbert scheme.