ABSTRACT ADDED - Many high-energy astrophysical sources —
pulsars, PWN, magnetars, GRBs, and AGN (including blazar) jets —
produce bright bursts of gamma-ray emission, often featuring rapid
variability and nonthermal spectra. This calls for a...
The rigorous derivation of the Vlasov equation from Newtonian
mechanics of $N$ Coulomb-interacting particles is still an open
problem. In the talk I will present recent results, where an
$N$-dependent cutoff is used to make the derivation possible...
This is a part of my joint work with Oh-Ohta-Ono and is a part of
project to rewrite the whole story of virtual fundamental chain in
a way easier to use. In general we can construct virtual
fundamental chain on (basically all) the moduli space of...
Beyond Endoscopy is the proposal by Langlands for using the trace
formula to attack the Principle of Functoriality. Many of the
problems at this (early) stage concern the geometric terms in the
trace formula. Most immediate perhaps is to extend...
Asymptotics for the distribution of Hecke eigenvalues in families
of automorphic forms are useful to study families of L-functions,
provided one has a sufficiently good estimate for the error term of
the asymptotic. I want to present ongoing joint...
