Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, December 1, 2021.

.
events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    November 2021          December 2021           January 2022
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  5  6             1  2  3  4                      1
7  8  9 10 11 12 13    5  6  7  8  9 10 11    2  3  4  5  6  7  8
14 15 16 17 18 19 20   12 13 14 15 16 17 18    9 10 11 12 13 14 15
21 22 23 24 25 26 27   19 20 21 22 23 24 25   16 17 18 19 20 21 22
28 29 30               26 27 28 29 30 31      23 24 25 26 27 28 29
30 31


Wednesday, December 1, 2021

4:00 pm in 245 Altgeld Hall,Wednesday, December 1, 2021

#### Arithmetic applications of modular forms

###### Robert Dicks

Abstract: The fourier coefficients of modular forms have been of interest in number theory for several years. They are intimately connected with elliptic curves, class numbers for quadratic fields, and integer partitions. The last one may seem surprising at first, given that these complex-analytic functions "should" have nothing to do with that fact that one can write 4 as 4=3+1=2+2=2+1+1=1+1+1+1. We will focus mainly on integer partitions for this talk. In particular, we will discuss partition congruences, and at the end, discuss new congruences for related functions.