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Schedule, Notes/Handouts & Videos

Introduction to Derived Algebraic Geometry (UC Berkeley) June 26, 2023 - July 07, 2023

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Jun 26, 2023
Monday
09:15 AM - 09:30 AM
  Intro to SLMath
09:30 AM - 09:35 AM
  Break
09:35 AM - 10:50 AM
  DG Categories and DG Functors
Dmytro Arinkin (University of Wisconsin-Madison)
10:50 AM - 11:35 AM
  Break
11:35 AM - 12:50 PM
  Functor of Points
Benjamin Antieau (Northwestern University)
12:50 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Tea Break
04:00 PM - 05:00 PM
  Discussion Session
Jun 27, 2023
Tuesday
09:15 AM - 10:30 AM
  Infinity-categories
Benjamin Antieau (Northwestern University)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Derived Category of Modules
Dmytro Arinkin (University of Wisconsin-Madison)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jun 28, 2023
Wednesday
09:15 AM - 10:30 AM
  Modules over a DG Category
Dmytro Arinkin (University of Wisconsin-Madison)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Commutative Differential Graded Algebras
Benjamin Antieau (Northwestern University)
12:30 PM - 02:00 PM
  Lunch
Jun 29, 2023
Thursday
09:15 AM - 10:30 AM
  Animated Commutative Rings
Benjamin Antieau (Northwestern University)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  The Yoneda Embedding and (Quasi)-Functors
Dmytro Arinkin (University of Wisconsin-Madison)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jun 30, 2023
Friday
09:15 AM - 10:30 AM
  Pre-Triangulated and Ind-Completion
Dmytro Arinkin (University of Wisconsin-Madison)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Presentable infinity-categories and Derived Commutative Rings
Benjamin Antieau (Northwestern University)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jul 03, 2023
Monday
09:15 AM - 10:30 AM
  Derived Stacks
Benjamin Antieau (Northwestern University)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  'Large' vs `Small' Worlds: Compactly Generated Categories
Dmytro Arinkin (University of Wisconsin-Madison)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jul 05, 2023
Wednesday
09:15 AM - 10:30 AM
  DG Categories of Quasicoherent Sheaves
Dmytro Arinkin (University of Wisconsin-Madison)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Geometric Derived Stacks
Benjamin Antieau (Northwestern University)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jul 06, 2023
Thursday
09:15 AM - 10:30 AM
  The Cotangent Complex
Benjamin Antieau (Northwestern University)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Operations on DG Categories
Dmytro Arinkin (University of Wisconsin-Madison)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
Jul 07, 2023
Friday
09:15 AM - 10:30 AM
  Moduli of Objects
Benjamin Antieau (Northwestern University)
10:30 AM - 11:15 AM
  Break
11:15 AM - 12:30 PM
  Fourier-Mukai Transforms via DG Categories
Dmytro Arinkin (University of Wisconsin-Madison)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Problem Session
03:15 PM - 03:45 PM
  Tea Break
03:45 PM - 05:00 PM
  Discussion Session
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