BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Short character sums evaluated at homogeneous polynomials - Rena C
 hu (University of Göttingen)
DTSTART:20260204T133000Z
DTEND:20260204T143000Z
UID:TALK238027@talks.cam.ac.uk
CONTACT:Julia Wolf
DESCRIPTION:Let p be a prime. Bounding short Dirichlet character sums is a
  classical problem in analytic number theory\, and the celebrated work of 
 Burgess provides nontrivial bounds for sums as short as p^1/4+&#949\;^ for
  all &#949\;>0. In this talk\, we will first survey known bounds in the or
 iginal and generalized settings. Then we discuss the so-called ``Burgess m
 ethod'' and present new results that rely on bounds on the multiplicative 
 energy of certain sets in products of finite fields.
LOCATION:MR4\, CMS
END:VEVENT
END:VCALENDAR