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 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.
