Wednesday, September 30, 2009

Chiral categories at non-critical levels and generalized localization

Last week, I went to Shin-Osaka, in order to deliver an oral presentation at the JMS (Japan Mathematical Society). The presentation hall was at a building of Science Department of Osaka University. To reach this campus, I had to transfer at Senri-Chuo, from subway to mono-rail.

As my current specialization is on the algebro-geometry ("algebroid-analysis"), the generalization of Atiyah-Bott fixed point theorem is a long-standing problem to be stated algebraically.

I presented my understanding of the superstring theory within this decade, which is somewhat involved with a series of axioms of quantum field theories. Thus I digested my original preprint into a "causality problem" (physicists' localization theorem of $D$-modules). On the contrary, I did not explain the Wightman axiom or Osterwalder-Schrader axioms. It was because I was more on algebraic analysis of holonomic $D$-modules of hyperfunctions of several variables.








OK. Let me summarize. My presentation is available at

Chiral categories at non-critical levels and generalized localization

Like this, I somehow focused on the contradictory problem between quantum conformal field theories and general relativity. I tried to eliminate such contradiction by utilizing space-time supersymmetry (special holonomy), and proposed a compact complex surface, with both positive Ricci scalar curvature and cancellation of gerbe cohomology coming from one part of the gravitational anomalies.

Mobile Phone Posting

Two weeks ago, I prepared my presentation by a 1.5 hour seminar at my home campus. That day was my birthday so that I have become matured.

Thursday, September 17, 2009

Quantization and Hodge structures

Today was the final day of the celebration of 60th birthday of T.Oda, in Komaba campus, on automorphic forms of several variables. Then I took a short trip (1 hour and a half) to the Kashiwa campus of the University of Tokyo. The milestone above is a monument near the entrance of this campus.

We are going to have a seminar on quantization and semi-infinite Hodge theory.

Note also that tomorrow (September 18th) is my 30th birthday, and I will welcome this occasion by a preparation seminar for the JMS (Japan Mathematical Society) workshop at Osaka University.