Department of

# Mathematics

Seminar Calendar
for events the day of Friday, October 12, 2018.

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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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30


Friday, October 12, 2018

9:00 am in 350 Altgeld Hall,Friday, October 12, 2018

#### Measurable matchings and Følner tilings: Part 3

###### Anush Tserunyan (UIUC Math)

Abstract: We read through "Følner tilings of actions of amenable groups" by C. Conley et al [arXiv]. In this third talk, I will introduce the notion of Banach density and prove the main theorem about the existence of Følner tilings a.e. using the Banach density version of the Rokhlin lemma (to be proven) and the Lyons–Nazarov matching theorem (proven last time).

1:00 pm in 2 Illini Hall,Friday, October 12, 2018

#### Clifford algebras and $K$-theory I: The structures and representations of Clifford algebras

###### Ningchuan Zhang

Abstract: In this talk, I’ll introduce Clifford algebras and study their structures. The goal is to demonstrate a periodicity phenomenon arising from the representations of Clifford algebras that resembles the Bott periodicity for $K$-theory.

3:00 pm in 145 Altgeld Hall,Friday, October 12, 2018

#### A hobbyists view of the mean curvature flow

###### Gayana Jayasinghe (Illinois Math)

Abstract: I'll introduce the mean curvature flow and talk about some nice results and ideas, sketching a few proofs along the way. There will be pictures.

3:00 pm in 345 Altgeld Hall,Friday, October 12, 2018

#### TBA

###### Lina Xu (Director, M.S. in Actuarial Science program, Columbia University)

4:00 pm in 241 Altgeld Hall,Friday, October 12, 2018

#### Supersymmetry and Morse theory

###### Lutian Zhao (UIUC)

Abstract: In 1982, Edward Witten discovered the topological invariant hidden inside the supersymmetric quantum field theory: the Morse complex can be constructed by the supersymmetric model. In this talk, I’ll try to explain the construction from the very beginning assuming no knowledge of supersymmetry as well as Morse theory. If time permitted, I’ll discuss some interpretation of index theorem by supersymmetry.

4:00 pm in 345 Altgeld Hall,Friday, October 12, 2018

#### On "A model-theoretic approach to rigidity of strongly ergodic, distal actions" by T. Ibarlucía and T. Tsankov: Part 1

###### Ruiyuan (Ronnie) Chen (Illinois Math)

Abstract: We begin reading through "A model-theoretic approach to rigidity of strongly ergodic, distal actions" by T. Ibarlucía and T. Tsankov [arXiv].