Department of

# Mathematics

Seminar Calendar
for events the day of Friday, October 6, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2017          October 2017          November 2017
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1  2    1  2  3  4  5  6  7             1  2  3  4
3  4  5  6  7  8  9    8  9 10 11 12 13 14    5  6  7  8  9 10 11
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24 25 26 27 28 29 30   29 30 31               26 27 28 29 30



Friday, October 6, 2017

12:00 pm in 243 Altgeld Hall,Friday, October 6, 2017

#### Regularity Lemmata via Graph Theory and Analysis

Abstract: I will be exploring some interesting connections between graph theory and analysis through versions of Szemerédi's regularity lemma. Szemerédi's lemma states that every large enough graph can be divided into near equipartitions such that edges between the partitions behave almost randomly. In the style of a 2007 paper by Lovász and Szegedy, I generalize this problem to the setting of stepfunctions on a Hilbert space then dive into the world of graphons, analytic objects which act as the limit to a sequence of dense graphs. No particular background needed in graph theory or analysis.

4:00 pm in 345 Altgeld Hall,Friday, October 6, 2017

#### "Borel circle squaring" by Marks and Unger: Part 4 (last)

###### Anush Tserunyan (Illinois Math)

Abstract: In the previous talk of this series, we discussed how to obtain an integral Borel flow out of a real valued one. In this last talk of the series, we will put all the ingredients together and show how to obtain a Borel matching from an integral Borel $f$-flow for the specific $f := \mathbb{1}_A - \mathbb{1}_B$.

4:00 pm in 241 Altgeld Hall,Friday, October 6, 2017

#### Homological Mirror Symmetry for P^1

###### Jesse Huang (UIUC)

Abstract: Homological Mirror Symmetry, conjectured by Kontsevich in 1994, is a fairytale between invariants of $X$ and its mirror $X^{mir}$, exchanging algebraic and symplectic data between the pair. In this talk, I will try to make sense of this for $\mathbb P^1$, which is very well understood and usually spoken of as a popular example advertising one version of the conjecture.