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VERSION:2.0
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SUMMARY:GROUPS\, ARITHMETIC AND ALGEBRAIC GEOMETRY SEMINAR - Sidon sets\, 
 Larsen's alternative\, exponential sums\, and random graphs
DTSTART:20251216T141500
DTEND:20251216T154500
DTSTAMP:20261102T212403Z
UID:61cffbb1b6dfebeef1f664a14adc02c98e34afe4ac53c861aa49aad8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Javier Fresan (Institut de mathématiques de Jussieu\, Paris)\
 nA Sidon set is a subset S of an abelian group A with the property that el
 ements of A cannot be sums of two elements of S in more than one way. Lars
 en's alternative is a criterion to decide whether a compact subgroup K of 
 the group of unitary matrices is as large as possible in terms of the four
 th moment of K. I will explain how to construct Sidon sets coming from alg
 ebraic geometry\, and how Larsen's alternative allows us to prove explicit
  quidistribution statements for some exponential sums over finite fields s
 upported at those Sidon sets. Building on this\, we can construct families
  of graphs that\, on the one hand\, have eigenvalues that are asymptotical
 ly distributed according to the Sato-Tate measure\, but on the other hand 
 are very different from random graphs\, for example in that they do not co
 ntain K_{2\, 3}as a subgraph. This is a joint work with Arthur Forey\, Emm
 anuel Kowalski\, andYuval Wigderson. \n\n(30 minutes general talk\, follo
 wed by 45minutes of more specialized talk)
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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