Princeton University

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...

The NASA Kepler Mission has demonstrated that planets with radii larger than Earth yet smaller than Neptune are common around Sun-like stars. Although Kepler has determined the physical sizes of hundreds of such planets, we know virtually nothing...

Hydrogen recombination at redshifts z ~ 1100 - 1500 leads to the rapid decrease of the optical depth of the Universe due to Thomson scattering. As a result CMB photons previously strongly coupled with baryonic matter become free and able to reach...

Symplectic and anti-symplectic embeddings can be characterized as those embeddings that preserve the symplectic capacity (of ellipsoids). This gives rise to a proof of \(C^0\)-rigidity of symplectic embeddings, and in particular, diffeomorphisms....

In the first part of the talk we will survey some recent results on representations of finite (simple) groups. In the second part we will discuss applications of these results to various problems in number theory and algebraic geometry.

Galaxies mark the nexus between the "micro" scales of individual stars and black holes, and the "macro" scales of the "cosmic web", the large scale structure in which galaxies are embedded. Modeling the physics of galaxy formation is therefore one...

After Gromov's foundational work in 1985, problems of symplectic embeddings lie in the heart of symplectic geometry. The Gromov width of a symplectic manifold \((M, \omega)\) is a symplectic invariant that measures, roughly speaking, the size of the...

Intrinsic alignments of galaxy shapes with cosmological large-scale structure include a great deal of information about galaxy formation and evolution in a cosmological context, while also serving as a contaminant to weak gravitational lensing...

Note: Video recording will be available at https://www.ias.edu/video/sns.

http://www.ias.edu/sns/~seminar/colloquia.shtml