Simons Collaboration Workshop, Jan. 10-13, 2018

The CMSA will be hosting a four-day Simons Collaboration Workshop on Homological Mirror Symmetry and Hodge Theory on January 10-13, 2018. The workshop will be held in room G10 of the CMSA, located at 20 Garden Street, Cambridge, MA.

Please click here to register for this event.  We have space for up to 30 registrants on a first come, first serve basis.

We may be able to provide some financial support for grad students and postdocs interested in this event.  If you are interested in funding, please send a letter of support from your mentor to Hansol Hong at hansol84@gmail.com.

 

Confirmed Participants:

 

Wednesday, January 10

Time Speaker Title/Abstract
9:30-10:30am Tony Pantev  
10:30 – 11:00am Break
11:00 – 12:00pm Young-Hoon Kiem
12:00 – 1:45pm Lunch
1:45 – 2:45pm Kaoru Ono
2:45 – 3:15pm Tea
3:15 – 4:15pm Kazushi Ueda

Thursday, January 11

Time Speaker Title/Abstract
9:30-10:30am Yan Soibelman

Riemann-Hilbert correspondence in dimension one, Fukaya categories and periodic monopoles

Abstract: By RH-correspondence in dimension one I understand not only the classical one for holonomic D-modules on curves, but also its versions for q-difference and elliptic difference equations. The unifying geometry for all versions is the one of partially compactified symplectic surfaces. Then the RH-correspondence relates the category of holonomic coherent sheaves on the quantized symplectic surface with an appropriate partially wrapped Fukaya category of that surface.

The  non-abelian Hogde theory in dimension one deals with twistor families of the parabolic versions of the above categories. In the case of q-difference equations the role of harmonic objects is played by doubly periodic monopoles, while in the case of elliptic difference equations it is played by triply periodic monopoles.

Talk is based on the joint project with Maxim Kontsevich.
10:30 – 11:00am Break
11:00 – 12:00pm Cheol-Hyun Cho
12:00 – 1:45pm Lunch
1:45 – 2:45pm Mohammed Abouzaid
2:45 – 3:15pm Tea
3:15 – 4:15pm Sui Cheong Lau Immersed Lagrangians and wall-crossing

Abstract: We find the Floer-theoretical gluing between local moduli of Lagrangian immersions, and use it to study wall-crossing for local Calabi-Yau manifolds.  It is a joint work with Cho and Hong.  In a joint work with Hong and Kim, we apply the technique to recover the Lie theoretical mirror of Gr(2,n).

4:15 – 4:30pm Break
4:30 – 5:30pm


Friday, January 12

Time Speaker Title/Abstract
9:30-10:30am Eric Zaslow  
10:30 – 11:00am Break
11:00 – 12:00pm Si Li
12:00 – 1:45pm Lunch
1:45 – 2:45pm Sergey Barranikov
2:45 – 3:15pm Tea
3:15 – 4:15pm Thomas Lam
4:15 – 4:30pm Break
4:30 – 5:30pm Colleen Robles

Saturday, January 13

Time Speaker Title/Abstract
9:30-10:30am Chenglong Yu  
10:30 – 11:00am Break
11:00 – 12:00pm Radu Laza
12:00 – 1:45pm Lunch

 

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