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Workshop

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics August 19, 2019 - August 23, 2019
Registration Deadline: August 23, 2019 about 3 hours from now
To apply for Funding you must register by: June 03, 2019 3 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers LEAD Jayadev Athreya (University of Washington), Sergei Gukov (California Institute of Technology), Andrew Neitzke (University of Texas, Austin), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)
Speaker(s)

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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.  
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, 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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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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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 (Institut de mathématiques de Bordeaux)
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 (California Institute of Technology)
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 (Institut de mathématiques de Bordeaux)
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 (California Institute of Technology)
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 (Institut de mathématiques de Bordeaux)
Aug 22, 2019
Thursday
09:30 AM - 10:30 AM
  Quadratic differentials, WKB analysis, and cluster coordinates
Dylan Allegretti (MSRI - Mathematical Sciences Research Institute)
10:30 AM - 11:00 AM
  Coffee Break
11:00 AM - 12:00 PM
  The asymptotic geometry of the Hitchin moduli space
Laura Fredrickson (Stanford University)
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 (California Institute of Technology)
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 Maryland)
12:00 PM - 02:15 PM
  Lunch