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...
Late medieval and Renaissance painters in northern Europe took
pride in characterizing the forms of attention specific to the
votive encounter. Amidst the hubbub of the Crucifixion, certain
witnesses to the event are shown poised between acceptance...
Quillen's higher K-groups, defined in 1971, paved the way for
motivic cohomology of algebraic varieties. Their definition as
homotopy groups of combinatorially constructed topological spaces
initially seems abstract and inaccessible. In...
