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Schedule, Notes/Handouts & Videos

Hot Topics: The Homological Conjectures March 12, 2018 - March 16, 2018

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Mar 12, 2018
Monday
09:45 AM - 10:00 AM
  Welcome
10:00 AM - 11:00 AM
  The homological conjectures: past, present, and future
Melvin Hochster (University of Michigan)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Perfectoid fields
Hélène Esnault (Freie Universität Berlin)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Almost mathematics and the homological conjectures
Paul Roberts (University of Utah)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Perfectoid rings
Wieslawa Niziol (CNRS, Ecole Normale Superieure de Lyon)
Mar 13, 2018
Tuesday
10:00 AM - 11:00 AM
  Adic spaces I
Brian Conrad (Stanford University)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Adic spaces II
Brian Conrad (Stanford University)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Perfectoid spaces I
Johan de Jong (Columbia University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Perfectoid spaces II
Kestutis Cesnavicius (Centre National de la Recherche Scientifique (CNRS))
05:00 PM - 06:30 PM
  Reception
Mar 14, 2018
Wednesday
10:00 AM - 11:00 AM
  Almost purity
Yves Andre (Centre National de la Recherche Scientifique (CNRS))
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Complements on almost purity
Gerd Faltings (Max-Planck-Institut für Mathematik)
Mar 15, 2018
Thursday
10:00 AM - 11:00 AM
  Adjoining p-power roots of the discriminant
Judith Ludwig (Max-Planck-Institut für Mathematik)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  The Riemann extension theorem
Kiran Kedlaya (University of California, San Diego)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The direct summand conjecture and its derived variant
Bhargav Bhatt (University of Michigan)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  The perfectoid Abhyankar lemma and big Cohen-Macaulay algebras
Yves Andre (Centre National de la Recherche Scientifique (CNRS))
Mar 16, 2018
Friday
10:00 AM - 11:00 AM
  Remarks on big Cohen-Macaulay algebras and on ramification over log-regular rings
Ofer Gabber (Institut des Hautes Études Scientifiques (IHES))
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems
Luchezar Avramov (University of Nebraska)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Perfectoid multiplier/test ideals and symbolic powers
Linquan Ma (Purdue University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Singularities mod p, and singularities in mixed characteristic
Karl Schwede (University of Utah)