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Poisson geometry of moduli spaces, associators and quantum field theory: April 30-June 29, 2018

Organized by: Anton Alexeev and Samson Shatashvili

The proposed program will touch upon two topics in Mathematics: Poisson geometry of moduli spaces and the theory of associators, and some of the mathematical aspects of quantum field theory. Both the moduli space theory and the associator theory are intimately related to quantum field theory. In particular, the associator theory describes the choices of deformation quantization which are given by the Feynamn graphical calculus (pioneered by Kontsevich). Another interaction point with quantum field theory is appearance of multiple zeta-values in the theory of sting amplitudes. The workshop will provide a platform for interaction of researchers working in several fields of Mathematics and Mathematical Physics working on different facets of this fascinating theme.

 

Program Talk Schedule

All programs talks are scheduled to last 2 hours, unless otherwise noted below:

Date Time Title Speaker Location
Wed. May 2nd 10:00AM – 12:00PM   Dennis Sullivan SCGP 313
Wed. May 2nd 2:00PM – 4:00PM   Leon Takhtajan SCGP 102
Thurs. May 3rd 10:00AM – 12:00PM  An enumerative approach to the P=W conjecture for the moduli of Higgs bundles Andras Szenes SCGP 313
Fri. May 4th 10:00 AM – 12:00PM  Higher groups in higher gauge theory Chenchang Zhu SCGP 313

 

Date Time Title Speaker Location
Mon. May 7th 10:00AM – 12:00PM  Title: A Betti counterpart of the harmonic coproduct (I) Hidekazu Furusho SCGP 102
Mon. May 7th 2:00PM – 4:00PM  Title: A Betti counterpart of the harmonic coproduct  (II) Benjamin Enriquez SCGP 102
Tues. May 8th 9:30AM – 11:30AM  Cyclotomic Double affine Hecke algebras Pavel Etingof SCGP 102
Wed. May 9th 10:00AM – 12:00PM  Double brackets in topology of manifolds Vladimir Turaev SCGP 102
Wed. May 9th 2:00PM – 4:00PM  Curves on surfaces and three manifolds: string topology and other structures.  Moira Chas SCGP 102
Thurs. May 10th 10:00 am – 12:00PM  Hodge theory and the Goldman-Turaev Lie bialgebra Richard Hain SCGP 102
Thurs. May 10th 2:00PM – 4:00PM  Elliptic versions of the Grothendieck-Teichm├╝ller, double shuffle and Kashiwara-Vergne Lie algebras Leila Schneps SCGP 102
Fri. May 11th 10:00 am – 12:00PM   Dror Bar – Natan SCGP 102

 

Date Time Title Speaker Location
Wed. May 16th 10:00AM – 12:00PM   Anastasia Volovich SCGP 313
Fri. May 17th 10:00AM – 12:00PM   Alexander Goncharov SCGP 313

 

Date Time Title Speaker Location
Wed. June 13th 10:00AM – 12:00PM   Michele Vergne SCGP 313
Wed. June 13th 2:00PM – 3:00PM   Benjamin Hoffman  SCGP 102
Wed. June 13th 3:30PM – 4:30PM   Yanpeng Li SCGP 102
Thurs. June 14th 10:00AM – 12:00PM  Curves on Surfaces and Three Manifolds via String Topology Mini course by Moira Chas SCGP 313
Thurs. June 14th 2:00PM – 4:00PM   Serguei Merkulov SCGP 313
Fri. June 15th 10:00AM – 12:00PM  Curves on Surfaces and Three Manifolds via String Topology Mini course by Moira Chas SCGP 313

 

Date Time Title Speaker Location
Mon. June 18th 10:00AM – 12:00PM  Algebra and Geometry of String Topology Mini course by Dennis Sullivan SCGP 102
Mon. June 18th 2:00PM – 4:00PM   Gwenael Massuyeau SCGP 102
Tues. June 19th  10:00AM – 12:00PM   Nariya Kawazumi SCGP 102
Tues. June 19th 2:00PM – 4:00PM   Yusuke Kuno SCGP 102
Wed. June 20th 10:00AM – 12:00PM   Martin Kassabov SCGP 102
Wed. June 20th 2:00PM – 4:00PM   Florian Naef SCGP 102
Thurs. June 21st 10:00AM – 12:00PM  Algebra and Geometry of String Topology Mini course by Dennis Sullivan SCGP 102

 

Date Time Title Speaker Location
Tues. June 26th 2:00PM – 4:00PM   Arkady Berenstein SCGP 313
Wed. June 27th 10:00AM – 11:00AM   Matteo Felder SCGP 313
Wed. June 27th 11:30AM – 12:30PM   Elise Raphael SCGP 313