Video Lectures

A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours.  The study of rainbow subgraphs goes back to the work of Euler on Latin squares in the 18th century.  Since then rainbow structures were the focus of...

I will explain the notion of twisted generating function and show that a closed exact Lagrangian submanifold LL in the cotangent bundle of MM admits such a thing. The type of function arising in our construction is related to Waldhausen's tube space...

Star formation takes place in the densest and coldest parts of the interstellar medium (ISM), in dark molecular clouds. These are swept up by multiple supernova explosions on scales of several hundred parsec. While condensing out of the warm ISM...

I will discuss some new results on the structure of Selmer groups of finite Galois modules over global fields. Tate's definition of the Cassels-Tate pairing can be extended to a pairing on such Selmer groups with little adjustment, and many of the...

The Syriac Bible (specifically the New Testament) was first printed in Europe in the Early Modern period. The protagonists were European humanists who saw in Syriac holy symbolism. Its closeness to Hebrew gave them the illusion that they can use it...

We will discuss the following theorems concerning colimits taken in the infinity-category of monoidal DG-categories. (No familiarity with infinity-categories will be required or assumed.) The affine Hecke category is the monoidal colimit of its...

This expository talk will try to bridge the first examples of "almost commuting" unitary matrices that are not almost "commuting unitaries" due to Voiculescu to a more sophisticated and very beautiful construction of examples by Gromov and Lawson in...

This talk gives an introduction on how to quickly solve linear systems where the matrix of the system is the Laplacian matrix of any undirected graph. No prior familiarity with optimization is assumed. In the process, we will cover:

• what positive...

We consider a class of interacting particle systems with two types, A and B which perform independent random walks at different speeds. Type A particles turn into type B when they meet another type B particle. This class of systems includes models...