Department of

# Mathematics

Seminar Calendar
for events the day of Friday, September 13, 2019.

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, September 13, 2019

2:00 pm in 347 Altgeld Hall,Friday, September 13, 2019

#### Tensor Categories Reading Group

###### See seminar site

Abstract: See seminar site.

3:00 pm in 341 Altgeld Hall,Friday, September 13, 2019

#### Probabilistic Methods for PDE

###### Kesav Krishnan (UIUC Math)

Abstract: In this talk I will introduce some aspects of Markov Processes, in particular diffusions and their connection to elliptic operators. In particular I will discuss the link between Brownian motion and the Laplacian, the probabilistic interpretation of properties of harmonic functions, such as the mean value theorem, and probabilistic solutions to linear elliptic and parabolic PDE. Time permitting, methods for non-linear PDE will be discussed

4:00 pm in 347 Altgeld Hall,Friday, September 13, 2019

#### Perfect set property

###### Anush Tserunyan   [email] (UIUC Math)

Abstract: A subset of the reals has the perfect set property if it is either countable or contains a copy of Cantor space --- the space of all infinite sequences of 0s and 1s. This is a strong form of the so-called Continuum Hypothesis and the Cantor--Bendixon theorem states that this property holds for all closed subsets of reals. We will discuss this representative theorem of the subject called Descriptive Set Theory and its connection with infinite games, if time permits.

4:00 pm in 141 Altgeld Hall,Friday, September 13, 2019

#### Construction of a Poisson manifold of strong compact type

###### Luka Zwaan (UIUC)

Abstract: I will start the talk with a short introduction to Poisson geometry, going over several equivalent ways of defining a Poisson structure and giving some basic properties and examples. After that I will focus on a specific class of Poisson manifolds, namely those we call ''of compact type''. There are several compactness types, and finding non-trivial examples for the strongest type turns out to be quite difficult. I will sketch a construction which makes use of the many strong properties of K3 surfaces.