Home /  Summer Graduate School /  Schedule

Schedule, Notes/Handouts & Videos

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

Show All Collapse
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
  Introduction to moduli
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 low genus curves in projective space
Eric Larson (Brown University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Low genus canonical curves
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 10, 2024
Wednesday
09:00 AM - 10:15 AM
  Properties of the moduli space of smooth curves
Hannah Larson (University of California, Berkeley)
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 11, 2024
Thursday
09:00 AM - 10:15 AM
  Introduction to stable curves
Hannah Larson (University of California, Berkeley)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  The dualizing sheaf
Eric Larson (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 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
  Combinatorics of the boundary of M_g-bar
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 and Group Photo
Jul 18, 2024
Thursday
09:00 AM - 10:15 AM
  Intro to intersection theory of M_g and M_{g,n}-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
Back to Summer Graduate School