Organized by Lev Borisov,
Diuliu Diaconescu,
and Chris Woodward
9/20 Diuliu Diaconescu, Rutgers, Large N Duality for
Algebraic Knots.
9/27 No seminar.
10/4 Sobhan Seyfaddini, IAS, C^0-limits of Hamiltonian
flows and spectral invariants
10/11 Egor Shelukhin, Tel Aviv, Quasimorphisms and moment maps
10/18 Danny Gillam, Brown, Logarithmic Gromov-Witten theory
and symplectic cohomology
10/25 Ralph Kaufmann, Purdue. SPECIAL TIME: 12:30. Title: On CY-LG
correspondence for (0,2) toric models
Abstract: The background
for this joint work with Lev Borisov is Witten's fundamental paper on
phases of N=2 theories in two dimensions. Besides the more well known
considerations of (2,2) models which have been prominent in mirror
symmetry there are (0,2) models which appear in a heterotic
setting. These should behave like their (2,2) counterparts exhibiting
for instance a Calabi-Yau/Landau-Ginzburg correspondence.
To study this question, we use an approach analogous to Borisov's
study of mirror symmetry and the CY/LG correspondence in the toric
setting using lattice vertex algebras. In particular, we construct a
family of such algebras and show that it allows us compute the
cohomology of a twisted chiral de Rham sheaf which models this
situation.
11/1 Sushmita Venugopalan, Rutgers, Yang-Mills heat flow
on gauged holomorphic curves
11/8 Mohammad Farajzadeh Tehrani, Princeton
Title: Kahler cone and Automorphism group of Calabi-Yau manifolds.
Abstract: Kahler cone of Calabi-Yau manifolds appear in A-side of
mirror symmetry and the geometry of this object is very important in
construction of complexified Kahler-moduli. This cone might be very
complicated but a conjecture of Morrison states that modulo
automorphism group, there should be a polyhedral fundamental domain
inside that. In this talk we give a start of the art review of this
conjecture for some famous Calabi-Yau threefolds.
11/15 Paul Horja, Oklahoma State
Title: Matrix factorizations of natural transformations and abstract categories
of singularities
Abstract: A categorical notion of a matrix factorization and the
associated category of singularities will be presented. In this context,
the superpotential is viewed as a natural transformation of functors on
exact categories. This point of view encodes the essential features of the
various notions of matrix factorizations (graded, non-graded, stacky, etc)
currently studied in the literature.
11/22 No seminar: Thurs classes
11/29 Chris Woodward, Rutgers, quantum cohomology of toric orbifolds
via quantum Kirwan
12/6
12/13 No seminar: last day of classes
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