Department of

Mathematics


Seminar Calendar
for events the day of Friday, September 30, 2016.

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     August 2016           September 2016          October 2016    
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Friday, September 30, 2016

4:00 pm in 345 Altgeld Hall,Friday, September 30, 2016

Distality and Keisler measures

Erin Caulfield (UIUC Math)

Abstract: In this talk, I will introduce distality and discuss the connection between distality and weak cell decompositions. The presentation follows Sergei Starchenko's notes on "NIP, Keisler Measures and Combinatorics."

4:00 pm in 241 Altgeld Hall,Friday, September 30, 2016

Homotopy groups of the MU spectrum

Tsutomu Okano (UIUC Math)

Abstract: Thom's 1954 paper implies that there is an isomorphism of rings between the cobordism ring of almost complex manifolds and $\pi_*(MU)$, the coefficient ring of the $MU$ spectrum. A notable property of the $MU$ spectrum is that it is the universal complex oriented cohomology theory, which is related to the notion of formal group laws. Indeed, the universal formal group law defined over the Lazard ring $L$ can be identified with the canonical formal group law defined on $\pi_*(MU)$ via an isomorphism of these underlying rings. This isomorphism is the content of Milnor-Quillen theorem and the goal of this talk is to give a sketch of this last isomorphism $L \simeq \pi_*(MU)$.