Department of

# Mathematics

Seminar Calendar
for events the day of Friday, March 12, 2021.

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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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Friday, March 12, 2021

2:00 pm in Contact for zoom link,Friday, March 12, 2021

#### Circle Packings and a discrete Riemann Mapping Theorem

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

Abstract: I will introduce Circle Packings as defined by Thurston, and describe how they provide a discrete analogue of complex analysis and conformal maps. I will also introduce the discrete analogue of the Riemann Mapping Theorem, and if time permits I will talk about how discrete complex function theory plays a crucial role in certain 2-dimensional models in probability theory.

4:00 pm in Zoom,Friday, March 12, 2021

#### Department Town Hall Meeting

###### Department of Mathematics (Illinois Math)

Abstract: Department chair Jeremy Tyson will provide a building project update, including a tour through the building plans for both Altgeld and Illini Halls. This same content will also be presented at a special building project update meeting on March 15 at noon.

4:00 pm in Zoom,Friday, March 12, 2021

#### Primes represented by binary quadratic forms

###### Olivia Beckwith   [email] (UIUC Math)

Abstract: Let Q(x,y) = ax^2 + bxy + cy^2, where a, b, and c are integers. Which prime numbers are of the form Q(x,y), for some integers x and y? This classical number theory question is connected to rich areas of math, including algebraic number theory, class field theory, and modular functions. This talk will introduce one of the fundamental elements of this theory: the group structure on equivalence classes of binary quadratic forms of a fixed discriminant.

For zoom info, please email drthoma2@illinois.edu