Past Events

We say that a knot is slice if it bounds a smooth disk in 4-ball and ribbon if it bounds a ribbon disk in 3-sphere. Ribbon knots are always slice, while it is unknown whether the converse, also known as the slice-ribbon conjecture, is true. The...

We say that two smooth 4-manifolds are exotic if they are homemorphic but not diffeomorphic. Wall's theorem, proven in 1964, says that when the given 4-manifolds are simply-connected, they are always diffeomorphic after sufficiently many...

Cell locomotion is essential for early development, angiogenesis, tissue regeneration, the immune response, and wound healing in multicellular organisms, and plays a very deleterious role in cancer metastasis in humans. Locomotion involves the...

We will explore how a Fourier optimization framework may be used to study two classical problems in number theory involving Dirichlet characters: The problem of estimating the least character non-residue; and the problem of estimating the least prime...

The memory capacity of a statistical model is the largest size of generic data that the model can memorize and has important implications for both training and generalization. In this talk, we will prove a tight memory capacity result for two-layer...

A polytope is the convex hull of finitely many points. A polytope is simplicial if all of its faces are simplices. What partial information about a simplicial polytope P is enough to uniquely determine P (up to certain equivalences)? We will discuss...

Systems of interacting particles describing notable physical phenomena, such as Bose-Einstein condensation, superconductivity or superfluidity, exhibit a daunting complexity. This complexity renders the exact many-body theory computationally non...

The formalization of string diagrams, in a 1991 paper by Andre Joyal and Ross Street, was a seminal event. They defined a basic diagrammatic language and proved its validity for rigorous mathematics in any monoidal category, and in doing so they laid...

The even filtration, introduced by Hahn-Raksit-Wilson, is a canonical filtration attached to a commutative ring spectrum which measures its failure to be even. Despite its simple definition, the even filtration recovers many arithmetically important...

Combinatorial Algebra meets Algebraic Combinatorics (CAAC) is a series of workshops that bring together researchers in algebraic combinatorics, combinatorial aspects of commutative algebra, geometry, and representation theory, and computational...