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SUMMARY:Akshat Mudgal (University of Warwick\, UK)
DTSTART:20260718T150000Z
DTEND:20260718T152500Z
DTSTAMP:20260710T111453Z
UID:CANT2026/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/82/
 ">A structure theorem for sets with doubling 4 + δ</a>\nby Akshat Mudgal 
 (University of Warwick\, UK) as part of Combinatorial and additive number 
 theory seminar (CANT 2026)\n\nLecture held in Science Center in the CUNY G
 raduate Center (4th floor).\n\nAbstract\nA question of Ben Green asks whet
 her every finite set $A$ of integers with doubling constant $K$ must conta
 in a subset $A'$ of comparable size whose doubling is at most $K + o(1)$ d
 ue to some explicit algebraic structure on $A'$. This was previously under
 stood in the regime $K < 4 - o(1)$ by work of Eberhard\, Green\, and Manne
 rs\, who showed that one can find such a subset $A'$ with density at least
  $1/2 + o(1)$ inside a long arithmetic progression. In this talk\, I will 
 provide a brief survey of this question as well as mention some new progre
 ss towards this. This is joint work with Yifan Jing.\n
LOCATION:https://researchseminars.org/talk/CANT2026/82/
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