Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, April 23, 2020.

.
events for the
events containing

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


Thursday, April 23, 2020

11:00 am in Zoom (email Patrick Allen for the meeting ID and password),Thursday, April 23, 2020

#### Log-free zero density estimates for automorphic L-functions

###### Chen An (Duke University)

Abstract: One of the most important topics in number theory is the study of zeros of L-functions. Near the edge of the critical strip, one may show that the number of zeros for certain L-functions is small; such a result is called a zero density estimate. For Dirichlet L-functions, this topic is well understood by the work of Gallagher, Selberg, Jutila, etc. For families of automorphic L-functions, Kowalski and Michel show that the number of zeros near the edge of the critical strip is small on average. The proof uses a large sieve inequality with key objects called pseudo-characters. I will present my recent progress on the refinement of Kowalski-Michel's large sieve inequality, which gives rise to a better zero density estimate for automorphic L-functions.

3:00 pm in 347 Altgeld Hall,Thursday, April 23, 2020

#### **Rescheduled due to COVID-19 campus-shutdown**

###### Mee Seong Im   [email] (United States Military Academy)

Abstract: TBA

4:00 pm in Zoom Meeting,Thursday, April 23, 2020