## Wednesday, July 22, 2009

## Tuesday, July 21, 2009

### Recent developments of chiral categories

2 weeks ago, I presented a 1 hour talk at the mathematics department of Tsukuba Univerisity. The slide is available at:

Recent developments of chiral categories (pdf)

In this talk, I generalized T-duality (of Hodge numbers) into Hyperkaehler / Landau-Ginzburg orbifolds (stacks) correspondence without coordinates (Leray-like theorem of "gerbe cohomology") utilizing BOTH the notion of gluing 2-categories of chiral differential operartors AND a little on the generalized (virtual) localization theorem by quiver gauge theories of chiral multiplets.

Recent developments of chiral categories (pdf)

In this talk, I generalized T-duality (of Hodge numbers) into Hyperkaehler / Landau-Ginzburg orbifolds (stacks) correspondence without coordinates (Leray-like theorem of "gerbe cohomology") utilizing BOTH the notion of gluing 2-categories of chiral differential operartors AND a little on the generalized (virtual) localization theorem by quiver gauge theories of chiral multiplets.

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