Department of

# Mathematics

Seminar Calendar
for events the day of Monday, February 16, 2015.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, February 16, 2015

4:00 pm in 145 Altgeld Hall,Monday, February 16, 2015

#### Nakajima’s quiver varieties: a tale of three quotients

###### Josh Wen (UIUC Math)

Abstract: “Quiver” is the name that geometers and representation theorists give to finite directed graphs. A representation of a quiver is a diagram in the category of vector spaces that is shaped like the quiver in the obvious sense, and an algebraic geometer may have many reasons to consider categories of such representations. One goal of this talk is to highlight some of these reasons; the other is to walk the then-hopefully-motivated audience through Nakajima’s construction of moduli spaces of quiver representations. Here, a formidable list of characters from the world of quotients appear—GIT, stability conditions, the moment map, and Hamiltonian reduction—but in the tractable setting of affine schemes and vector spaces, and this talk can be viewed as a petting zoo encounter with these ideas.

5:00 pm in 241 Altgeld Hall,Monday, February 16, 2015

#### Spectral traces

###### Dimitry Zanin (UNSW)

Abstract: I will present a result on spectral traces, and give the required definitions