Home /  [HYBRID WORKSHOP] Introductory Workshop: Analytic and Geometric Aspects of Gauge Theory

Workshop

[HYBRID WORKSHOP] Introductory Workshop: Analytic and Geometric Aspects of Gauge Theory August 29, 2022 - September 02, 2022
Registration Deadline: September 03, 2022 almost 2 years ago
To apply for Funding you must register by: May 30, 2022 about 2 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers LEAD Aleksander Doan (University of Cambridge; University College London), Lorenzo Foscolo (Università di Roma "La Sapienza''), Laura Fredrickson (University of Oregon), Ruxandra Moraru (University of Waterloo), Michael Singer (University College London)
Speaker(s)

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Description
Image
Portion of a letter from Maxwell to Tait dated December 4, 1867 computing the linking number of two curves
This will be a hybrid workshop with in-person participation by members of the semester-long program and speakers. Online participation will be open to all who register.  The workshop will highlight the utility and impact of gauge theory in other areas of math. Mini-courses will cover the historical utility and impact of gauge theory in areas including low-dimensional topology, algebraic geometry, and the analysis of PDE; additional talks will cover more recent directions.  
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 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 29, 2022
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Lecture
Tomasz Mrowka (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Physical Perspectives on Gauge Theories and Dualities
Lara Anderson (Virginia Polytechnic Institute and State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Gauge Theory Beyond the Fourth Dimension
Thomas Walpuski (Humboldt-Universität)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Basics of Yang-Mills Gauge Theory Pt I
Alex Waldron (University of Wisconsin-Madison; University of California, Berkeley)
Aug 30, 2022
Tuesday
09:30 AM - 10:30 AM
  Noncompactness in Low Dimensional Gauge Theories
Rafe Mazzeo (Stanford University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Basics of Yang-Mills Gauge Theory Pt II
Alex Waldron (University of Wisconsin-Madison; University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to Intanton Floer Homology Pt I
Sherry Gong (Texas A & M University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Contact 3-Manifolds and Gauge-Theoretic Invariants
Olga Plamenevskaya (State University of New York, Stony Brook)
04:30 PM - 06:30 PM
  Reception
Aug 31, 2022
Wednesday
09:00 AM - 10:00 AM
  Gauge Theory and Complex Geometry Pt I
Song Sun (Zhejiang University; University of California, Berkeley)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Introduction to Intanton Floer Homology Pt II
Sherry Gong (Texas A & M University)
11:30 AM - 12:30 PM
  Gauge Theory and Special Holonomy Pt I
Jason Lotay (University of Oxford)
Sep 01, 2022
Thursday
09:30 AM - 10:30 AM
  Gauge Theory and Complex Geometry Pt II
Song Sun (Zhejiang University; University of California, Berkeley)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Gauge Theory and Special Holonomy Pt II
Jason Lotay (University of Oxford)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Symplectic Geometry of Connections
Katrin Wehrheim (University of California, Berkeley)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  An Introduction to Magnetic Monopoles
Christopher Kottke (New College of Florida)
Sep 02, 2022
Friday
09:00 AM - 10:00 AM
  Mirror Symmetry for Higgs Bundles, Generalized Hyperpolygons and More
Laura Schaposnik (University of Illinois at Chicago)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Gauge Theory and Special Holonomy Pt III
Jason Lotay (University of Oxford)
11:30 AM - 12:30 PM
  Gauge Theory and Complex Geometry Pt III
Song Sun (Zhejiang University; University of California, Berkeley)