Calendar: Events for week of May 7, 2018
Ivan Smith (Cambridge)
“Lagrangian Cobordism and Tropical Curves”
Jordan Ellenberg (University of Wisconsin)
“Heights on Stacks”
Chiu-Chu Melissa Liu (Columbia)
“Mirror Symmetry for Symplectic Toric Calabi-Yau 3-folds”
“On the Serpent and the Flood”
Andras Vasy (Stanford)
“Fredholm Theory and the Resolvent of the Laplacian Near Zero Energy on Asymptotically Conic Spaces”
David Donoho (Stanford University)
Leaping from Blackboard to Bedside: Medical Imaging and Higher-Dimensional Geometry
In 2017, a new magnetic resonance imaging (MRI) device by General Electric and Siemens entered the marketplace with an advertised 10-fold speedup over traditional MRI and the potential to impact 80 million MRI scans annually. This talk will discuss the applications and some of the mathematics behind this advance, coming from the field of “compressed sensing” that leverages higher-dimensional geometry in novel ways.
Jun Li (Stanford)
“Degeneration Method in Moduli Spaces (in algebraic geometry)”
I will outline the construction of the stack of expanded degeneration, and show how this is used to study degeneration of moduli spaces. In the end, I will mention the challenge in how to generalize this construction to deal with moduli problems with strictly semi stable objects.
Steven Rayan (Saskatchewan)
“Geometry of Weightless Kapustin-Witten Solutions on the Plane”
László Miklós Lovász (UCLA)
“Graph Limits and Finite Forcibility”
We study the uniqueness of optimal solutions to extremal graph theory problems. Lovász conjectured that every finite feasible set of subgraph density constraints can be extended further by a finite set of density constraints so that the resulting set is satisfied by an asymptotically unique graph.
“Calderon-Zigmund Theory for Random Elliptic Equations”
“Degree Sequences of Random Graphs”
Sheldon Katz (UIUC)
“Refined BPS invariants of local surfaces and representations of affine E_8”
Inspired by the work of Huang-Klemm-Poretschkin on the refined E-string, in this work in progress I give evidence for a conjecture that for a class of algebraic surfaces S with -K nef, the cohomology of the moduli space of 1-dimensional stable sheaves F with euler characteristic 1 supports a natural and non-trivial representation of a semisimple or affine Lie algebra g(S).