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Workshop

Chern-Simons and Other Topological Field Theories November 16, 2021 - November 18, 2021
Parent Program: --
Location: MSRI: Simons Auditorium, Atrium
Claremont Club and Spa (https://www.fairmont.com/claremont-berkeley/)
Organizers Stephon Alexander (Brown University), Fiona Burnell (University of Minnesota), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Dan Freed (University of Texas, Austin), Joel Moore (University of California, Berkeley), John Morgan (Columbia University)
Speaker(s)

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Description
The introduction of the Chern-Simons differential form in 1972 catalyzed a remarkable series of developments across mathematics and physics, continuing to the present day. The classical Chern-Simons invariant provides an obstruction to immersing a 3-manifold conformally into Euclidean 4-space, while the quantum Chern-Simons invariants in topological field theories gave rise to many new developments in knot theory.  In physics, the Chern-Simons action for gauge fields is widely discussed as an alternative or supplement to conventional Maxwell and Einstein theories. Topological field theories encode the fractional statistics of emergent anyon particles in condensed matter. This workshop will cover the current state of the manifold areas in mathematics and physics in which Chern-Simons and other topological field theories have had a dramatic impact, as well as their appearance in new areas ranging from integrability to number theory.   Shiing-Shen Chern, the founding Director of MSRI was born on October 28, 1911 in Jiaxing, China. We join the Chern Institute of Mathematics at Nankai University and the Yau Mathematical Sciences Center at Tsinghua University in celebrating Professor Chern's 110th Birthday, following Chinese tradition.     This workshop is supported by the Simons Foundation. MSRI has been supported from its origins by the National Science Foundation, now joined by over 100 Academic Sponsor departments, by a range of private foundations, and by generous and farsighted individuals.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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 has a 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. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

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 MSRI (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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Nov 16, 2021
Tuesday
08:00 AM - 09:00 AM
  Breakfast
09:00 AM - 09:30 AM
  Introduction to Chern-Simons
Dan Freed (University of Texas, Austin)
09:30 AM - 10:00 AM
  Chern-Simons and the Matter-Anti Matter Asymmetry in the Universe
Stephon Alexander (Brown University)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  (Homological) Knot Invariants from Mirror Symmetry
Mina Aganagic (University of California, Berkeley)
11:45 AM - 12:45 PM
  Chern-Simons Theory and Fracton
Xie Chen (California Institute of Technology)
12:45 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  The Chern-Simons Functional and Floer Homology
Simon Donaldson (State University of New York, Stony Brook)
03:30 PM - 04:30 PM
  Afternoon Tea
04:30 PM - 05:30 PM
  How SUSY & Topology led from Chern-Simons Theory to Solving a Forty Year Old Mathematical Puzzle
Sylvester Gates (Brown University)
Nov 17, 2021
Wednesday
08:00 AM - 08:30 AM
  Bus departs Claremont Club & Spa for MSRI
08:15 AM - 09:00 AM
  Breakfast
09:00 AM - 10:00 AM
  Quantized Nonlinear Response in Ballistic Metals
Charles Kane (University of Pennsylvania)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Chern-Simons, Differential K-Theory and Operator Theory
John Lott (University of California, Berkeley)
11:45 AM - 12:45 PM
  Comments on Lattice vs. Continuum Quantum Field Theory
Nathan Seiberg (Institute for Advanced Study)
12:45 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Chern-Simons Theory and Non-Abelian Topological Order
Xiao-Gang Wen (Massachusetts Institute of Technology)
03:30 PM - 04:30 PM
  Afternoon Tea
04:30 PM - 05:30 PM
  Origins of the Chern-Simons Theory
James Simons (Simons Foundation)
06:00 PM - 06:30 PM
  Bus departs MSRI for Hong Kong East Ocean Restaurant
06:30 PM - 09:00 PM
  Banquet at Hong Kong East Ocean Restaurant
Cumrun Vafa (Harvard University)
08:30 PM - 09:00 PM
  Buses depart Hong Kong East Ocean Restaurant for Claremont Club & Spa, MSRI and UC Berkeley Mining Circle
Nov 18, 2021
Thursday
08:00 AM - 09:00 AM
  Breakfast
09:00 AM - 10:00 AM
  Astrophysical Observational Signatures of Dynamical Chern-Simons Gravity
Nicolas Yunes (University of Illinois Urbana-Champaign)
10:00 AM - 10:30 AM
  Coffee Break
10:30 AM - 11:30 AM
  Chern-Simons Theories in Dimensions Four, Five and Six
Kevin Costello (Perimeter Institute of Theoretical Physics)
11:45 AM - 12:45 PM
  Arithmetic Field Theories and Arithmetic Invariants
Minhyong Kim (International Centre for Mathematical Sciences)
12:45 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Categorification
Mikhail Khovanov (Columbia University)
03:30 PM - 04:30 PM
  Afternoon Tea
04:30 PM - 05:30 PM
  The Universe from a Single Particle
Michael Freedman (Microsoft Research Station Q)
06:00 PM - 06:30 PM
  Bus departs Claremont Club & Spa for David Brower Center
07:00 PM - 08:00 PM
  Public Lecture: "Jazz of the Spheres"
Stephon Alexander (Brown University)
08:15 PM - 08:45 PM
  Buses depart David Brower Center for Claremont Club & Spa, MSRI, and UC Berkeley Mining Circle