The asymptotic spectrum of tensors
Jeroen Zuiddam
Member, School of Mathematics
October 5, 2018
School of Mathematics
Quantum footprints of symplectic rigidity
Leonid Polterovich
Tel Aviv University
October 4, 2018
We discuss interactions between quantum mechanics and symplectic topology including a link between symplectic displacement energy, a fundamental notion of symplectic dynamics, and the quantum speed limit, a universal constraint on the speed of quantum-mechanical processes. Joint work with Laurent Charles.
Proofs from Algorithms, Algorithms from Proofs
Pravesh Kothari
Princeton University; Member, School of Mathematics
October 3, 2018
Zimmer's conjecture for co-compact lattices in simple complex Lie groups
Zhiyuan Zhang
KTH Royal Institute of Technology, Stockholm; Member, School of Mathematics
October 3, 2018
Intrinsic Diophantine approximation on S^3
Raphael Steiner
University of Bristol; Member, School of Mathematics
October 3, 2018
Contact hypersurfaces and mirror symmetry
Saraswathi Venkatesh
Member, School of Mathematics
October 3, 2018
Getting information from Higher Dimensional Moduli Spaces in Floer theory
Zhengyi Zhou
Member, School of Mathematics
October 3, 2018
Tensor rank
Avi Wigderson
Herbert H. Maass Professor, School of Mathematics
October 2, 2018
Tensors occur throughout mathematics. Their rank, defined in analogy with matrix rank, is however much more poorly understood, both from a structural and algorithmic viewpoints.
Prescribing scalar curvature in high dimension
Andrea Malchiodi
SISSA
October 2, 2018
We consider the classical problem of prescribing the scalar curvature of a manifold via conformal deformation of the metric, dating back to works by Kazdan and Warner. This problem is mainly understood in low dimensions, where blow-ups of solutions are proven to be "isolated simple". We find natural conditions to guarantee this also in arbitrary dimensions, when the prescribed curvatures are Morse functions. As a consequence, we improve some pinching conditions in the literature and derive existence
results of new type. This is joint work with M. Mayer.
On the existence of minimal Heegaard splittings
Dan Ketover
Princeton University; Member, School of Mathematics
October 2, 2018
In the 80s Pitts-Rubinstein conjectured that certain kinds of Heegaard surfaces in three-manifolds can be isotoped to index 1 minimal surfaces. I'll describe in detail a proof of their conjecture and some applications. This is joint work with Liokumovich and Song.