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UID:7984@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151026T000000
DTEND;TZID=Europe/Paris:20151030T000000
DTSTAMP:20241221T200601Z
URL:https://www.i2m.univ-amu.fr/evenements/moduli-spaces-in-geometry/
SUMMARY:Conference (CIRM\, Luminy\, Marseille): Moduli Spaces in Geometry
DESCRIPTION:Conference: \n\n\n\n\n\n\n Schedule \n\n\n\n List of participan
 ts \n\n\n\n\n\n Sponsors \n\n\n\n\n\n Abstracts \n\n\n\n\n\n Videos \n\n\n
 \n\n\n\n\n\n\n\n\n\n\n\n\nCONFERENCE\nModuli Spaces in Geometry \nOctober
  26 - 30\, 2015 \n\n\n\n\n\n\n\n\n\nClassification problems in Complex Geo
 metry   often lead to  so-called moduli spaces. These are complex analyt
 ic spaces\, algebraic varieties\, or stacks whose points parameterize the 
 isomorphy classes of the objects in question. Famous examples include the 
 moduli space of smooth curves of fixed genus and moduli spaces of stable v
 ector bundles on a fixed variety.\n\nA well-known   construction method f
 or such moduli spaces comes from GIT. This technique works   for vector a
 nd principal bundles with or without extra structures on projective algebr
 aic varieties. The notion of  stability from GIT has to be translated int
 o an intrinsic notion of  stability for the objects one would like to stu
 dy. One of the striking and interesting discoveries\, known under the name
  of Kobayashi-Hitchin correspondence\, is the fact that moduli problems fo
 r stable objects are often related to  gauge theoretical moduli problems.
 \n\nIt is a remarkable fact that the moduli stack of Higgs bundles feature
 s prominently in many aspects of the Langlands program.  Ngô Bào Châu 
 used the topology of the moduli stack of Higgs bundles and the  Hitchin m
 ap to prove the fundamental lemma in the Langlands program over function f
 ields over finite fields.  Drinfeld and Laumon proposed a geometric versi
 on of the Langlands program which works over arbitrary fields\, in particu
 lar\, over C. It postulates an equivalence between the derived category of
  D-modules on the moduli stack of principal G-bundles and the derived cate
 gory of O-modules on the stack of local systems for the Langlands dual gro
 up on an algebraic curve. Donagi and Pantev showed that the Hitchin integr
 able system for a simple algebraic group   is dual to the Hitchin system 
 for the Langlands dual group. This can be interpreted as a "classical limi
 t'' of the Geometric Langlands Conjecture. The workshop will discuss recen
 t results related to these spectacular developments.\n\n\n\n\n\n\n\n\n\n\n
 \n\n\n\n\n\n\n\nScientific Committee\n\nNigel Hitchin (University of Oxfo
 rd)\nEduard Looijenga (University of Utrecht)\nCarlos Simpson (Universit
 é Nice Sophia-Antipolis)\n\nOrganizing Committee\n\nJoseph Ayoub (Univers
 ity of Zurich)\nAlexander Schmitt (Freie University Berlin)\nAndrei Telema
 n (Aix-Marseille Université)\n\nSpeakers\n\n 	Marian Aprodu (Romanian Aca
 demy\, Bucharest)\n\nCayley-Chow forms of K3 surfaces and Ulrich bundles\n
 \n 	Philip Boalch (Université Paris-Sud)\n\nNon-perturbative symplectic m
 anifolds and non-commutative algebras\n\n 	Jim Bryan (University of Britis
 h Columbia)\n\nCurve counting on Abelian surfaces and threefolds and Jacob
 i forms\n\n 	Ionut Ciocan-Fontanine (University of Minnesota)\n\nWall-cros
 sing in quasimap theory\n\n 	Gavril Farkas (Humboldt University of Berlin)
 \n\nThe uniformization of the moduli space of abelian 6-folds\n\n 	Daniel 
 Greb (University of Duisburg-Essen)\n\nHiggs sheaves on singular spaces an
 d uniformisation for varieties of general type\n\n 	Richard Hain (Duke Uni
 versity)\n\nMotives connected with classical modular forms\n\n 	Tamas Haus
 el (EPF Lausanne)\n\nToric non-abelian Hodge theory\n\n 	Jochen Heinloth (
 University of Duisburg-Essen)\n\nSome results on the cohomology of moduli 
 spaces of Higgs bundles\n\n 	Jacques Hurtubise (McGill University)\n\nMono
 poles on Sasakian 3-folds\n\n 	Marcos Jardim (IMECC - UNICAMP)\n\nTorsion 
 free sheaves with zero dimensional singularities \n\n 	Ludmil Katzarkov (U
 niversity of California\, Irvine)\n\nKahler metrics on categories\n\n 	Br
 uno Klingler (Université Paris-Diderot)\n\nAn Andre-Oort conjecture for 
 variations of Hodge structures\n\n 	Alexander Kuznetsov (Steklov Math Inst
 itute\, Moscow)\n\nGeometry and moduli spaces of Gushel-Mukai varieties\n\
 n 	Adrian Langer (University of Warsaw)\n\nBogomolov's inequality and its 
 applications\n\n 	Radu Laza (Stony Brook University)\n\nBirational geometr
 y of moduli spaces of K3 surfaces II\n\n 	Chiu-Chu Melissa Liu (Columbia U
 niversity)\n\nOn the remodeling conjecture for toric Calabi-Yau 3-orbifold
 s\n\n 	Bao Châu Ngô (University of Chicago)\n\nUnramied local L-factor
  and singularities in reductive monoid\n\n 	Kieran O'Grady (University of 
 Rome)\n\nBirational geometry of moduli spaces of K3 surfaces I\n\n 	Dragos
  Oprea (University of California San Diego)\n\nSegre classes and Hilbert s
 cheme of points\n\n 	Artan Sheshmani (Ohio State University/ IPMU)\n\nOn t
 he proof of S-duality modularity conjecture on quintic threefolds\n\n 	Mat
 ei Toma (Université de Lorraine)\n\nModuli spaces for slope-semistable sh
 eaves on projective manifolds\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\
 n  \n\n\nTRUSTEES \n\n\n\n\n\n\n\n\n\n\n\n  \n\n\n\n\n\n\n\n\n  \n\n\n\n\
 n\n\n\n\n\n\n\n\n\n\n
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 015/10/image_agt-real_projective_line_moduli_space_example-x200.jpg
CATEGORIES:Colloque
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