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SUMMARY:Enumeration: points\, curves\, heights [HSM Special Topic School]
DTSTART:20270801T220000Z
DTEND:20270805T220000Z
DTSTAMP:20260901T210800Z
UID:indico-event-1492@math-events.uni-bonn.de
CONTACT:hcm-hsm@uni-bonn.de
DESCRIPTION:Speakers: Johanna Knelsen\n\n\nThis special topic school is on
  problems of "point counting" in number theory\, with connections to analy
 tic number theory\, algebraic number theory\, algebraic geometry\, harmoni
 c analysis\, and logic. Recent work has resolved nearly all cases of a lon
 g-standing 1980's conjecture of Serre on counting rational points in proje
 ctive thin sets\, and lecture series   will describe two approaches to th
 ese problems. First:  determinant methods\, which originated in work of B
 ombieri and Pila in the 1990's\, and have been successfully developed in a
  wide variety of settings. Second: the polynomial sieve method\, which was
  developed recently by Bonolis\, Pierce and Woo\, and has connections to c
 haracter sums\,  L-functions\, and the Generalized Riemann Hypothesis. Pr
 oblems of counting points are also inherently connected to studying height
 s. Lecture series will describe ongoing work in the theory of heights of a
 lgebraic numbers\, with connections to Diophantine analysis\, the geometry
  of numbers\, and  the structure of number fields.\nThe deadline for the 
 application for participation is January 4\, 2027.\nOur Global Mobility F
 ellowships provide participation opportunities for selected researchers an
 d PhD students from countries of the Global South in the Special Topic Sch
 ools of the Hausdorff School for Mathematics. For more information\, plea
 se visit our website.\nLecture series by:\n\nShabnam Akhtari (Penn State 
 University)\nRaf Cluckers (CNRS\, University of Lille/KU Leuven)\nJonathan
  Pila (University of Oxford)\nMartin Widmer (Graz)\nKatharine Woo (ETH)\n\
 nScientific Organizers:\n\nShabnam Akhtari (Penn State University)\nRaf Cl
 uckers (CNRS\, University of Lille/KU Leuven)\nLillian Pierce (Duke Univer
 sity)\n\n\nhttps://math-events.uni-bonn.de/event/1492/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1492/
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