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DTSTART;TZID=America/New_York:20160417T000000
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DTSTAMP:20260410T062831
CREATED:20150904T040000Z
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UID:4073-1460851200-1461369600@www.simonsfoundation.org
SUMMARY:Geometry Over Nonclosed Fields (2016)
DESCRIPTION:April 17-23\, 2016\n\n \nOrganizers:\nFedor Bogomolov\, Courant Institute of Mathematical Sciences\nBrendan Hassett\, Brown University\nYuri Tschinkel\, Simons Foundation \nRelated Links:\n\n2012 Simons Symposium on Geometry Over Nonclosed Fields\n2015 Simons Symposium on Geometry Over Nonclosed Fields\n\nThe focus of this third symposium on Geometry Over Nonclosed Fields was zero-cycles and related Chow-theoretic and birational invariants for higher-dimensional algebraic varieties over various fields. Creative applications of “decomposition of the diagonal”\, in combination with deformation theory and unramifed cohomology\, have led to new proofs of irrationality for complex varieties. We expect these techniques may shed new light on rational points for varieties over non-closed fields\, e.g.\, del Pezzo surfaces over function fields. \nClick here for a PDF of the schedule and participant list\, or see the Agenda and Participants sections below. \n\nAgenda & Slides\n\n\n\nSunday\n \n\n\n 8:00    – 10:00 PM\nDinner\n\n\nMonday\nRationality Problems\n\n\n 9:30    – 11:00 AM\nBreakfast\n\n\n11:00 AM – 12:00 PM\nAsher Auel: Stable rationality of quadric bundles\n\n\n12:00    – 12:30 PM\nBreak\n\n\n12:30    –  1:30 PM\nSujatha Ramdorai: Birational geometry and derived birational invariants (Slides PDF)\n\n\n 1:30    –  2:30 PM\nLunch \n\n\n 2:30    –  4:30 PM\nDiscussion & Recreation\n\n\n 4:30    –  5:00 PM\nAfternoon Tea & Discussion\n\n\n 5:00    –  6:00 PM\nIvan Cheltsov: Rationality and non-rationality of singular Fano threefolds\n\n\n 6:00    –  7:00 PM\nKonstantin Shramov: Fano threefolds with large automorphism groups\n\n\n 8:00    –  9:30 PM\nDinner at the Wintergarden\n\n\n\nTuesday\nArithmetic Problems\n\n\n 9:30    – 11:00 AM\nBreakfast \n\n\n11:00 AM – 12:00 PM\nAntoine Chambert-Loir: Motivic Poisson formula and motivic height zeta functions (Slides PDF)\n\n\n12:00    – 12:30 PM\nBreak\n\n\n12:30    –  1:30 PM\nJulia Hartmann: Local-Global Principles for Rational Points on Homogeneous Varieties (Slides PDF)\n\n\n 1:30    –  2:30 PM\nLunch \n\n\n 2:30    –  4:30 PM\nDiscussion & Recreation\n\n\n 4:30    –  5:00 PM\nAfternoon Tea & Discussion\n\n\n 5:00    –  6:00 PM\nBruno Kahn: Torsion index of algebraic surfaces\n\n\n 6:00    –  7:00 PM\nRaman Parimala: Unramified cohomology of quadric bundles over surfaces\n\n\n 8:00    –  9:30 PM\nDinner \n\n\n\nWednesday\nAutomorphisms\n\n\n 8:00    –  9:30 AM\nBreakfast\n\n\n10:00 AM –  2:00 PM\nGuided Hike to Partnach Gorge\n\n\n 2:00    –  3:00 PM\nLunch\n\n\n 3:00    –  5:00 PM\nRecreation & Discussion\n\n\n 5:00    –  5:30 PM\nTea & Discussion\n\n\n 5:30    –  6:30 PM\nMisha Verbitsky: Constructing automorphisms of hyperkahler manifolds (Slides PDF)\n\n\n 7:00    –  8:00 PM\nConcert\n\n\n 8:00    –  9:30 PM\nDinner \n\n\n\nThursday\nCohomology\n\n\n 9:30    – 11:00 AM\nBreakfast\n\n\n11:00 AM – 12:00 PM\nJean-Louis Colliot-Thélène: A survey on unramified cohomology (Slides PDF)\n\n\n12:00    – 12:30 PM\nBreak\n\n\n12:30    –  1:30 PM\nPhilippe Gille: Serre’s conjecture II for groups of type E7 (Slides PDF)\n\n\n 1:30    –  2:30 PM\nLunch \n\n\n 2:30    –  4:30 PM\nDiscussion & Recreation\n\n\n 4:30    –  5:00 PM\nAfternoon Tea & Discussion\n\n\n 5:00    –  6:00 PM\nHélène Esnault: Lefschetz theorems (mostly) over finite fields\n\n\n 6:00    –  7:00 PM\nAlena Pirutka: Rationality in families and quadric bundles (Slides PDF)\n\n\n 8:00    –  9:30 PM\nDinner\n\n\n\nFriday\nGeometry Over the Reals\n\n\n 9:30    – 11:00 AM\nBreakfast\n\n\n11:00 AM – 12:00 PM\nOlivier Wittenberg: On the integral Hodge conjecture for real threefolds\n\n\n12:00    – 12:30 PM\nBreak\n\n\n12:30    –  1:30 PM\nOlivier Benoist: On Hilbert’s 17th problem in low degree\n\n\n 1:30    –  2:30 PM\nLunch \n\n\n 2:30    –  4:30 PM\nDiscussion & Recreation\n\n\n 4:30    –  5:00 PM\nAfternoon Tea & Discussion\n\n\n 5:00    –  6:30 PM\nDiscussion \n\n\n 8:00    –  9:30 PM\nDinner at Kaminstüberl\n\n\nParticipants\n\n\n\nAsher Auel\nYale University\n\n\nArnaud Beauville\nUniversité de Nice\n\n\nOlivier Benoist\nUniversité de Strasbourg \n\n\nFedor Bogomolov\nCourant Institute of Mathematical Sciences\n\n\nAntoine Chambert-Loir\nUniversité Paris-Sud \n\n\nIvan Cheltsov\nUniversity of Edinburgh and Moscow Higher School of Economics\n\n\nJean-Louis Colliot-Thélène\nUniversité Paris-Sud \n\n\n Hélène Esnault\nFreie Universität Berlin\n\n\nPhilippe Gille\nUniversite Claude Bernard Lyon 1\n\n\nJulia Hartmann\nUniversity of Pennsylvania\n\n\nBrendan Hassett\nBrown University\n\n\nDaniel Huybrechts\nUniversity of Bonn\n\n\nBruno Kahn\nInstitute de Mathematiques de Jussieu-Paris Rive Gauche\n\n\nMoritz Kerz\nUniversität Regensburg\n\n\nAndrew Kresch\nUniversität Zürich\n\n\nAlena Pirutka\nCentre de Mathématiques Laurent Schwartz\n\n\nYuri Prokhorov\nNational Research University\n\n\nParimala Raman\nEmory University\n\n\nSujatha Ramdorai\nTata Institute of Fundamental Research\n\n\nKonstantin Shramov\nMoscow Higher School of Economics\n\n\nYuri Tschinkel\nSimons Foundation\n\n\nTony Varilly-Alvarado\nRice University\n\n\nMisha Verbitsky\nMoscow Higher School of Economics\n\n\nOlivier Wittenberg\nÉcole Normale Supérieure\n\n\n\n \n« Back to Simons Symposia
URL:https://www.simonsfoundation.org/event/geometry-over-nonclosed-fields/
LOCATION:NY
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