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DTSTART;TZID=America/New_York:20180102T090000
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DTSTAMP:20260722T183539
CREATED:20230904T080137Z
LAST-MODIFIED:20250304T172359Z
UID:10000048-1514883600-1526662800@cmsa.fas.harvard.edu
SUMMARY:Simons Collaboration on Homological Mirror Symmetry
DESCRIPTION:The Simons Collaboration on Homological Mirror Symmetry brings together a group of leading mathematicians working towards the goal of proving Homological Mirror Symmetry (HMS) in full generality\, and fully exploring its applications. This program is funded by the Simons Foundation. \nMirror symmetry\, which emerged in the late 1980s as an unexpected physical duality between quantum field theories\, has been a major source of progress in mathematics. At the 1994 ICM\, Kontsevich reinterpreted mirror symmetry as a deep categorical duality: the HMS conjecture states that the derived category of coherent sheaves of a smooth projective variety is equivalent to the Fukaya category of a mirror symplectic manifold (or Landau-Ginzburg model). \nWe envision that our goal of proving HMS in full generality can be accomplished by combining three main viewpoints: \n\ncategorical algebraic geometry and non-commutative (nc) spaces: in this language\, homological mirror symmetry is the statement that the same nc-spaces can arise either from algebraic geometry or from symplectic geometry.\nthe Strominger-Yau-Zaslow (SYZ) approach\, which provides a global geometric prescription for the construction of mirror pairs.\nLagrangian Floer theory and family Floer cohomology\, which provide a concrete path from symplectic geometry near a given Lagrangian submanifold to an open domain in a mirror analytic space.\n\nThe Center of Mathematical Sciences and Applications is hosting the following short-term visitors for an HMS focused semester: \n\nJacob Bourjaily (Neils Bohr Institute)  4/1/2018 – 4/14/2018\nColin Diemer (IHES)  2/25/2018 – 3/10/2018\nCharles Doran (University of Alberta) 5/13/2018 – 5/25/2018\nBaohua Fu (Chinese Academy of Sciences)  4/15/2018 – 4/28/2018\nAndrew Harder (University of Miami)  4/15/2018 – 4/28/2018\nShinobu Hosono (Gakushuin University) 2/25/2018 – 3/10/2018\nAdam Jacob (UC Davis) 3/5/2018 – 3/16/2018\nTsung-Ju Lee (National Taiwan University) 4/18/2018 – 5/13/2018\nIvan Loseu (Northeastern University) 1/21/2018 – 2/3/2018\nCheuk-Yu Mak (Cambridge University) 4/1/2018 – 4/15/2018\nDaniel Pomerleano (Imperial College) 3/19/2018 – 3/23/2018\nMauricio Romo (Tsinghua University) 4/1/2018 – 4/18/ 2018\nEmanuel Scheidegger (Albert Ludwigs University of Freiburg) 2/22/2018 – 3/22/2018\nDmytro Shklyarov (Technische Universität Chemnitz) 3/4/2018 – 3/17/2018\nAlan Thompson (University of Cambridge) 4/15/2018 – 4/21/2018\nWeiwei Wu (University of Georgia) 4/27/2018 – 5/6/2018\nMatt Young (Chinese University of Hong Kong) 1/15/2018 – 2/9/2018\nJeng-Daw Yu (National Taiwan University) 4/2/2018 – 4/6/2018\nMinxian Zhu (Yau Mathematical Sciences Center\, Tsinghua University) 1/ 22/2018 – 2/25/2018\n\nAs part of their CMSA visitation\, HMS focused visitors will be giving lectures on various topics related to Homological Mirror Symmetry throughout the Spring 2018 Semester.  Click here for information. \n\n\nThe Collaboration will include two workshops hosted by The Center. The workshops will take place January 10-13\, 2018  and April 5-7\, 2018 at CMSA. Click here for more information.
URL:https://cmsa.fas.harvard.edu/event/simons-collaboration-on-homological-mirror-symmetry-2/
CATEGORIES:Programs
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