Department of

# Mathematics

Seminar Calendar
for events the day of Friday, October 7, 2016.

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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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1  2  3                      1          1  2  3  4  5
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Friday, October 7, 2016

2:00 pm in 443 Altgeld Hall,Friday, October 7, 2016

#### Measurable versions of the Lovász Local Lemma and measurable graph colorings, Part II

###### Anton Bernshteyn (UIUC Math)

Abstract: We will continue working through the paper "Measurable versions of the Lovász Local Lemma and measurable graph colorings" by Anton Bernshteyn.

4:00 pm in 245 Altgeld Hall,Friday, October 7, 2016

#### Topological K-Theory, the Hopf Invariant One Problem, and Real Division Algebras

###### Brian Shin (UIUC Math)

Abstract: The techniques of K-theory were introduced to the world by Grothendieck in the 1957 in the setting of algebraic geometry. These techniques can very naturally be translated into a purely topological setting, resulting in a theory called topological K-theory. In this talk, I will introduce topological K-theory and one of its earliest applications: the Hopf invariant one problem. I will then use these results to answer the question: in which dimensions is it possible to have a division algebra over the real numbers.

4:00 pm in 345 Altgeld Hall,Friday, October 7, 2016

#### Truncation in Hahn fields with a derivation

###### Santiago Camacho (UIUC Math)

Abstract: A subset $S$ of a Hahn field $k[[\mathfrak{M}]]$ is said to be truncation closed if for every series $f \in S$ all truncations of $f$ lie in $S$. There have been many results about preserving truncation closedness under several types of ring extensions. We show some preservation results in the differential setting.