A Workshop on Challenges at the Interface of Hitchin Systems and String Theory: March 18 – 22, 2019

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Organized by Lara Anderson and Laura Schaposnik

Co-organized by Rafe Mazzeo and Tony Pantev 

The workshop will be devoted to recent exciting developments related to Higgs bundles and the Hitchin fibration, and string theory. The purpose of the workshop is to bring key leading researchers of related fields together with young researchers to establish new directions and investigate shared challenges at the interface of physics and mathematics — including the theory of Hitchin Systems and singular geometry within string theory.

This workshop is associated with the program Geometry and Physics of Hitchin Systems: January 22 – June 21, 2019

The weekend before this workshop there will be a Workshop on the Geometry and Physics of Higgs bundles IV.  More information about this can be found here: https://schapos.people.uic.edu/Higgs-2019.html

 

 

Talk Schedule


Time Title Speaker Location
9:00am Kobayashi-Hitchin correspondences for periodic monopoles

Takuro Mochizuki

 SCGP 102
10:00am Coffee Break N/A SCGP cafe
10:30am Hitchin, Calabi-Yau and Mukai integrable systems. Ron Donagi SCGP 102
11:30am Lunch N/A SCGP cafe
1:00pm The asymptotic geometry of the Hitchin moduli space Laura Fredrickson N/A
2:00pm Tea Time N/A SCGP Lobby
2:30pm Hyperpolygons and Hitchin systems Steven Rayan SCGP 102

Time Title Speaker Location
9:00am Non-abelian Hodge theory in dimension one, Floer homology and periodic monopoles Yan Soibelman SCGP 102
10:00am Coffee Break N/A SCGP cafe
10:30am Hitchin Systems, T-branes, and Defects Raffaele Savelli SCGP 102
11:30am Lunch N/A SCGP cafe
1:00pm SCGP Weekly Talk: Tony Pantev N/A 102
2:00pm Tea Time N/A SCGP Lobby
2:30pm

Higher solutions to Hitchin‘s self-duality equations and Willmore surfaces

 

Lynn Heller

 SCGP 102

Time Title Speaker Location
9:00am PDE’s and non commutative motives Ludmil Katzarkov SCGP 102
10:00am Coffee Break N/A SCGP cafe
10:30am Higgs bundles for M-theory on G2 Manifolds Sakura Schafer-Nameki SCGP 102
11:30am Lunch N/A SCGP cafe
1:00pm Cameral covers and Higgs bundles: additive, multiplicative, and elliptic Dima Arinkin SCGP 102
2:00pm Tea Time N/A SCGP Lobby
2:30pm Tying up instantons with anti-instantons in sigma models Nikita Nekrasov SCGP 102
3:30pm   Break N/A
3:45pm Compactification of Doubly Periodic Monopole Moduli Spaces Sergey Cherkis SCGP 102
6:00pm Workshop Banquet N/A N/A

Time Title Speaker Location
9:00am Categorified Wall-Crossing With Twisted Masses

Greg Moore

 SCGP 102
10:00am Coffee Break N/A SCGP cafe
10:30am Moduli spaces of generalized holomorphic bundles Ruxandra Moraru SCGP 102
11:30am Lunch N/A SCGP cafe
1:00pm On the Hitchin morphism for higher dimensional varieties Ngo Bao Chau SCGP 102
2:00pm Tea Time N/A SCGP Lobby
2:30pm New TQFTs from Higgs bundles Sergei Gukov SCGP 102

Time Title Speaker Location
9:00am Extension of a theorem of Nagata and geometry of moduli Olivia Dumitrescu SCGP 102
10:00am Coffee Break N/A SCGP cafe
10:30am Wild Character Varities and Donaldson-Thomas invariants Duiliu-Emanuel Diaconescu SCGP 102
11:40am Higgs bundles and exotic components of surface group representation varieties. Steven Bradlow SCGP 102
12:40pm Lunch N/A SCGP cafe
3:30pm Tea Time N/A SCGP 515