Home /  Introductory Workshop: Holomorphic Differentials in Mathematics and Physics

Workshop

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics August 19, 2019 - August 23, 2019
Registration Deadline: August 23, 2019 almost 5 years ago
To apply for Funding you must register by: June 03, 2019 about 5 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers LEAD Jayadev Athreya (University of Washington), Sergei Gukov (California Institute of Technology), Andrew Neitzke (Yale University), Anna Wienhard (Max Planck Institute for Mathematics in the Sciences)
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Description
Quadmesh2
Some holomorphic differentials on a genus 2 surface, with close up views of singular points, image courtesy Jian Jiang.
Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.  
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Aug 19, 2019
Monday
09:15 AM - 09:30 AM
  Introduction to MSRI
09:30 AM - 10:30 AM
  Introduction to holomorphic differentials, I
Michael Wolf (Rice University)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  An introduction to flat surfaces - I
Elise Goujard (Université de Bordeaux I)
12:00 PM - 02:15 PM
  Lunch
02:15 PM - 03:15 PM
  An introduction to Higgs bundles - I
Qiongling Li (Chern Institute of Mathematics)
03:15 PM - 03:45 PM
  Tea
03:45 PM - 04:45 PM
  Geometry and Physics of BPS States - I
Du Pei (Harvard University)
Aug 20, 2019
Tuesday
09:30 AM - 10:30 AM
  Introduction to holomorphic differentials, II
Michael Wolf (Rice University)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  An introduction to flat surfaces - II
Elise Goujard (Université de Bordeaux I)
12:00 PM - 02:15 PM
  Lunch
02:15 PM - 03:15 PM
  An introduction to Higgs bundles - II
Qiongling Li (Chern Institute of Mathematics)
03:15 PM - 03:45 PM
  Tea
03:45 PM - 04:45 PM
  Geometry and Physics of BPS States - II
Du Pei (Harvard University)
04:45 PM - 06:20 PM
  Reception
Aug 21, 2019
Wednesday
09:30 AM - 10:30 AM
  Introduction to holomorphic differentials, III
Michael Wolf (Rice University)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  An introduction to flat surfaces - III
Elise Goujard (Université de Bordeaux I)
Aug 22, 2019
Thursday
09:30 AM - 10:30 AM
  Quadratic differentials, WKB analysis, and cluster coordinates
Dylan Allegretti (University of Sheffield)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  The asymptotic geometry of the Hitchin moduli space
Laura Fredrickson (University of Oregon)
12:00 PM - 02:15 PM
  Lunch
02:15 PM - 03:15 PM
  An introduction to Higgs bundles - III
Qiongling Li (Chern Institute of Mathematics)
03:15 PM - 03:45 PM
  Tea
03:45 PM - 04:45 PM
  Geometry and Physics of BPS States - III
Du Pei (Harvard University)
Aug 23, 2019
Friday
09:30 AM - 10:30 AM
  Maximal Representations, real Spectrum, and harmonic Maps
Marc Burger (ETH Zürich)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  Magical nilpotents and higher Teichmuller spaces
Brian Collier (University of California, Riverside)
12:00 PM - 02:15 PM
  Lunch