Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, September 29, 2020.

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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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Tuesday, September 29, 2020

11:00 am in Zoom,Tuesday, September 29, 2020

#### Partitions into primes in arithmetic progression

###### Amita Malik (AIM)

Abstract: In this talk, we discuss the number of ways to write a given integer as a sum of primes in an arithmetic progression. While the study of asymptotics for the number of ordinary partitions goes back to Hardy and Ramanujan, partitions into primes were recently re-visited by Vaughan. If time permits, we compare our results with some known estimates in special cases and discuss connections to certain classical results in analytic number theory.

2:00 pm in Zoom,Tuesday, September 29, 2020

#### Ramsey graphs and anti-concentration

###### Matthew Kwan (Stanford University)

Abstract: Anti-concentration inequalities provide limits on the extent to which random variables can be concentrated: for example, they commonly give uniform upper bounds on the probability that a random variable takes any particular value. In this talk I'll discuss some of the many connections between anti-concentration and combinatorics, initially focusing on applications to Ramsey graphs but also touching on a few other topics such as the polynomial Littlewood-Offord problem and permanents of random matrices.

Please Email Sean at SEnglish (at) illinois (dot) edu for Zoom information.