Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, February 3, 2016.

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Wednesday, February 3, 2016

3:00 pm in 243 Altgeld,Wednesday, February 3, 2016

Nakajima's quiver varieties

Matej Penciak (UIUC Math)

Abstract: This will follow Section 1 (especially 1.3) of Victor Ginzburg's lectures on Nakajima quiver varieties: http://arxiv.org/pdf/0905.0686v2.pdf

4:00 pm in 245 Altgeld Hall,Wednesday, February 3, 2016

Approximating freeness under constraints

Sorin Popa (UCLA)

Abstract: I will discuss a method for constructing Haar unitaries $u$ in a subalgebra $B$ of a von Neumann II$_1$ factor $M$ that are "as free-independent as possible" (approximately) with respect to a given finite set of elements in $M$. This technique had most surprising applications over the years: to Kadison-Singer type problems, to proving vanishing cohomology results for II$_1$ factors (e.g., compact valued derivations and the Connes-Shlyakhtenko 1-cohomology), as well as in subfactor theory (notably, to the discovery of the proper axiomatisation of the group-like objects arising from subfactors). After explaining this method, which I call incremental patching, I will comment on all these applications and its potential for future use.