Homological mirror symmetry, Hodge theory, and symplectic topology

ERC HMS (March 2020 - September 2025)

The unifying theme of the HMS project is mirror symmetry, which is a deep and mysterious conjectural relationship between symplectic topology and algebraic geometry. The project aims to prove some of the key predictions of mirror symmetry in broad generality.

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This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 850713).

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The Research Group:

PI: Nick Sheridan

Postdocs:

• Filip Živanović
  September 2020-
  
  
  
• Jeff Hicks
  August 2021-
  



• Umut Varolgüneş
  September 2021-
  

PhD students:

• Álvaro Muñiz Brea
  September 2021 -

Publications:

1. Quantum cohomology as a deformation of symplectic cohomology (Strom Borman, Umut Varolgüneş, Nick Sheridan). To appear in Journal of Fixed Point Theory and Applications, special issue in honor of Claude Viterbo. Preprint.

Activities:

1. Reading group on mirror symmetry for character varieties, Autumn semester 2020.


2. Symplectic working group, Spring semester 2021.


3. Mini-course on relative symplectic cohomology by Umut Varolgüneş, Spring semester 2021.