Previous Special Year Seminar
A Khovanov stable homotopy type
I will discuss Lipshitz and Sarkar's space level refinement of
Khovanov homology. Their approach is combinatorial in nature and is
inspired by Cohen-Segal-Jones' construction for Floer homology.
Mirror symmetry for a toric Calabi-Yau 3-fold
I will describe the non-homological (i.e. enumerative) aspect of
mirror symmetry for a particular toric Calabi-Yau 3-fold, the total
space of the canonical bundle over $\mathbb P^2$. In this case,
there is a simpler B-model on its mirror curve which...
Speculations about homological mirror symmetry for affine hypersurfaces
The wrapped Fukaya category of an algebraic hypersurface $H$ in
$(C*)^n$ is conjecturally related via homological mirror symmetry
to the derived category of singularities of a toric Calabi-Yau
manifold $X$, whose moment polytope is determined by the...
Homological mirror symmetry for the pair of pants
Homological mirror symmetry postulates a derived equivalence
between the wrapped Fukaya category of an exact symplectic manifold
and a category of coherent sheaves or matrix factorizations on a
mirror space. This talk will provide an introduction to...
Mirror symmetry for $T^*P^1$ and conjectural models for Khovanov homology
Consider $T^*P^1$ as the B-model of a mirror equivalence. It
turns out that the A-model mirror depends on choices and I will
describe two of these mirrors: one with underlying symplectic
manifold the complement of a conic in $T^*S^2$, and the
other...
