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Schedule, Notes/Handouts & Videos

Introduction to the Theory of Algebraic Curves (UC Berkeley) July 08, 2024 - July 19, 2024

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Jul 08, 2024
Monday
08:40 AM - 09:00 AM
  Introduction to SLMath
09:00 AM - 10:15 AM
  Introduction to linear series on curves
Isabel Vogt (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Moduli of genus 0 curves with marked points
Hannah Larson (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 09, 2024
Tuesday
09:00 AM - 10:15 AM
  Examples of embedded curves I
Eric Larson (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Introduction to Brill--Noether theory
Isabel Vogt (Brown University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 10, 2024
Wednesday
09:00 AM - 10:15 AM
  Examples of embedded curves II
Izzet Coskun (University of Illinois, Chicago)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Properties of the moduli space of smooth curves
Hannah Larson (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 04:15 PM
  Group Photo
04:15 PM - 05:00 PM
  Problem Session
Jul 11, 2024
Thursday
09:00 AM - 10:15 AM
  The dualizing sheaf
Eric Larson (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Introduction to stable curves
Hannah Larson (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 12, 2024
Friday
09:00 AM - 10:15 AM
  Introduction to Brill-Noether theory via degeneration
Isabel Vogt (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Introduction to deformation theory I
Izzet Coskun (University of Illinois, Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 15, 2024
Monday
09:00 AM - 10:15 AM
  Stable reduction I
Hannah Larson (University of California, Berkeley)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Proof of Brill-Noether nonexistence
Isabel Vogt (Brown University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 16, 2024
Tuesday
09:00 AM - 10:15 AM
  Introduction to deformation theory II
Eric Larson (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Stable reduction II
Hannah Larson (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 17, 2024
Wednesday
09:00 AM - 10:15 AM
  Introduction to limit linear series
Isabel Vogt (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Proof of Brill-Noether existence
Izzet Coskun (University of Illinois, Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Problem Session
03:00 PM - 05:00 PM
  Visit to SLMath with Afternon Tea
Jul 18, 2024
Thursday
09:00 AM - 10:15 AM
  Combinatorics of the bundle of M_g-bar
Hannah Larson (University of California, Berkeley)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Normal bundles of curves I
Izzet Coskun (University of Illinois, Chicago)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Jul 19, 2024
Friday
09:00 AM - 10:15 AM
  Global aspects of Brill-Noether theory
Isabel Vogt (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Normal bundles of curves II
Eric Larson (Brown University)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:00 PM
  Participant Survey
02:00 PM - 03:30 PM
  Problem Session
03:30 PM - 04:00 PM
  Afternoon Tea
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