Department of Mathematics Calendar

Back to Listing

The Department of Mathematics Calendar has moved to Webtools. Anyone may submit an event by clicking the "+" button (upper right). Note: the Sponsor field is required. Just type "n/a"

All events will be reviewed before acceptance. Please email Shelby Koehne if you have any questions about submitting an event.

Note: you may search past and future events by clicking on the magnifying glass icon on the main Calendar page.

For an archive of past events: https://math.illinois.edu/research/seminars-department-calendar

Number Theory Seminar: On Burgess bounds and superorthogonality

Event Type
Seminar/Symposium
Sponsor
n/a
Location
https://illinois.zoom.us/j/86535022006?pwd=Sk5BbEl3bEQ2K1dhK3BhYndvaEJrZz09
Virtual
wifi event
Date
Dec 7, 2021   12:00 - 1:00 pm  
Speaker
Lillian Pierce (Duke University)
Contact
Kevin Ford
E-Mail
ford126@illinois.edu
Views
10

Abstract: The Burgess bound is a well-known upper bound for short multiplicative character sums, with a curious proof. It implies for example a subconvexity bound for Dirichlet L-functions. In this talk we will present two types of new work on Burgess bounds. First, we will describe new Burgess bounds in multi-dimensional settings. Second, we will present a new perspective on Burgess’s method of proof. Indeed, in order to try to improve a method, it makes sense to understand the bigger “proofscape” in which a method fits. The Burgess method hasn’t seemed to fit well into a bigger proofscape. We will show that it can be regarded as an application of “superorthogonality.” This perspective turns out to unify topics ranging across harmonic analysis and number theory. In this accessible talk, we will survey these connections, with a focus on the number-theoretic side.

Meeting ID: 865 3502 2006
Password: 024737

link for robots only