Start with a compact Riemann surface \(X\) and a complex reductive
group \(G\), like \(\mathrm{GL}(n,\mathbb C)\). According to
Hitchin-Simpson's ``non abelian Hodge theory", the pair \((X,G)\)
comes with two new complex manifolds: the character...
I will present an exciting new interaction between computer science
and fair division theory, with the goal of giving the audience a
taste of different fair division challenges and the role
computational thinking plays in addressing them. Among...
Opening Remarks and Introduction of Biology Session
Avi Wigderson, Herbert H. Maass Professor in the School of
Mathematics
Institute for Advanced Study
The Computational Universe
Leslie Valiant, Harvard University
Many natural and social phenomena may be viewed as inherently
computational; they evolve patterns of information that can be
described algorithmically and studied through computational models
and techniques. This workshop on the computational lens...
In this talk, we study two natural circle actions in Floer theory,
one on symplectic cohomology and one on the Hochschild homology of
the Fukaya category. We show that the geometric open-closed string
map between these two complexes is \(S^1\)...
One of the major themes of the analytic theory of automorphic forms
is the connection between equidistribution and subconvexity. An
early example of this is the famous result of Duke showing the
equidistribution of Heegner points on the modular...
