Department of

# Mathematics

Seminar Calendar
for Graduate Analysis Seminar events the year of Saturday, February 15, 2020.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2020          February 2020            March 2020
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4                      1    1  2  3  4  5  6  7
5  6  7  8  9 10 11    2  3  4  5  6  7  8    8  9 10 11 12 13 14
12 13 14 15 16 17 18    9 10 11 12 13 14 15   15 16 17 18 19 20 21
19 20 21 22 23 24 25   16 17 18 19 20 21 22   22 23 24 25 26 27 28
26 27 28 29 30 31      23 24 25 26 27 28 29   29 30 31



Friday, January 24, 2020

3:00 pm in 347 Altgeld Hall,Friday, January 24, 2020

#### Organizational Meeting

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

Abstract: This organizational meeting will be to decide on a schedule of speakers. All are welcome

Friday, January 31, 2020

3:00 pm in 347 Altgeld Hall,Friday, January 31, 2020

#### Indroduction to Non Commutative Probability

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

Abstract: In this talk I will introduce Non Commutative Probability Theory, and highlight some of its uses in classical Probability, such as the study of random matrices. In particular, motivation of Wigner's semi-circle law as the non commutative analog of the Central Limit Theorem.

Friday, February 7, 2020

3:00 pm in 347 Altgeld Hall,Friday, February 7, 2020

#### Indroduction to Non Commutative Probability Part 2

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

Abstract: I will continue the talk from last friday, on the Introduction to Non Commutative Probability. In this talk, I will focus on limit laws, in particular the non commutative CLT and the universality of the semi-circle law.

Friday, February 14, 2020

3:00 pm in 347 Altgeld Hall,Friday, February 14, 2020

#### An Introduction to $L^2$ Cohomology

###### Gayana Jayasinghe (UIUC Math)

Abstract: We'll see how we can construct quasi isometry invariants and some conformal invariants with function spaces and operators on manifolds (and some more general spaces), and how we can use analysis to study geometric structures

Friday, February 28, 2020

3:00 pm in 347 Altgeld Hall,Friday, February 28, 2020

#### Eigenvalues on Forms

###### Xiaolong Han (UIUC Math)

Abstract: Recently there has been a growing interest in eigenvalues on forms. It is much more complicated than eigenvalues on functions but can detect finer geometry. It has applications in detecting length of axes of John ellipsoid of convex body, relating Monopole Floer homology to hyperbolic geometry, and commutator length in hyperbolic geometry. In this talk we will show some basic theory and definitions for eigenvalues on forms, and then provide some intuition for the geometry and applications.