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SUMMARY:Akshat Mudgal (University of Bristol\, UK)
DTSTART:20200604T160000Z
DTEND:20200604T162500Z
DTSTAMP:20260423T011223Z
UID:CANT2020/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/72/
 ">Arithmetic combinatorics on Vinogradov systems</a>\nby Akshat Mudgal (Un
 iversity of Bristol\, UK) as part of Combinatorial and additive number the
 ory (CANT 2021)\n\n\nAbstract\nIn this talk\, we consider the Vinogradov s
 ystem of equations from an arithmetic\ncombinatorial point of view. The nu
 mber of solutions of this system\, when the variables are\nrestricted to a
  set of real numbers $A$\, has been widely studied by researchers in both\
 nanalytic number theory and harmonic analysis. In particular\,  there has 
 been a significant\namount of work regarding upper bounds for the number o
 f solutions to the above system of\nequations.  The objective of our talk 
 will be of a different flavour\, wherein we will try to address\nthe follo
 wing question: Given a set $A$ with many solutions to the Vinogradov syste
 m\,\nwhat other arithmetic properties can we infer about $A$?\n
LOCATION:https://researchseminars.org/talk/CANT2020/72/
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