Seminar on geometry, symmetry, and physics, Fall 2018
Thursdays (usually) 1:30-2:30 pm in Serin Lab E372
Organized by Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas
Tarasca, and Chris Woodward
September 11 Laura Starkston, UCSD. Symplectic Isotopy Problems.
Abstract: We will discuss some problems and results about symplectic
surfaces in 4-manifolds, particularly in the complex projective plane.
The main question is to classify symplectic surfaces up to symplectic
isotopy. If the surface has singularities, we restrict the isotopies
to the class of surfaces with the same model singularities.
September 20 No talk
Homological mirror symmetry for Grassmannians: rectangles
Marsh-Rietsch proposed Landau-Ginzburg mirrors for the complex
Gr(k,n), building on Peterson's work on the quantum cohomology of
We confirm that they satisfy homological mirror symmetry when n=p
The proof describes an explicit correspondence between Lagrangian
the Fukaya category of Gr(k,p) and sheaves generating the category of
the mirror potential. The assumption n=p forces the singularities to
in a special cluster chart of the mirror, that we call rectangular,
by an argument that
combines arithmetic properties of sums of roots of unity and
Stanley's hook-content formula
for the number of semi-standard tableaux on a Young diagram.
October 4 Yoel Groman, Columbia (?)
November 14 (SPECIAL DAY: Wednesday) Dmitry Tonkonog, Berkeley.