I will report on recent joint work with L. Lanzani on three
basic projection operators, each associated to an appropriate
domain in C^n. These are: variants of Cauchy-Fantappie integrals;
the Cauchy-Szego projection: and the Bergman projection...
We establish a derived equivalence of the Fukaya category of the
2-torus, relative to a basepoint, with the category of perfect
complexes on the Tate curve over Z[q]. It specializes to an
equivalence, over Z, of the Fukaya category of the...
Welschinger invariants, real analogs of genus 0 Gromov-Witten
invariants, provide non-trivial lower bounds in real algebraic
geometry. In this talk I will explain how to get some wall-crossing
formulas relating Welschinger invariants of the same...
I present some of the very fundamental notions in game theory,
with emphasis on their role in the theory of mechanism design and
implementation. Examples include (1) normal-form games: Nash
equilibrium and full implementation, dominant strategy...
I present some of the very fundamental notions in game theory,
with emphasis on their role in the theory of mechanism design and
implementation. Examples include (1) normal-form games: Nash
equilibrium and full implementation, dominant strategy...
Patching methods are usually used to construct global objects
from more local ones. On the other hand, algebraic objects can
sometimes be understood from their local behavior, i.e., they
satisfy a local-global principle. In this talk, we explain...
Our present framework for physics is difficult to modify without
destroying its marvelous, successful properties. This provides a
strong check on theoretical speculations and helps guide us to a
small set of candidates for new laws. In this talk, Ni...
