Solutions of the algebraic Bethe ansatz for quantum magnet chains are, generally, multivalued functions of the parameters of the integrable system. I will explain how to compute some monodromies of solutions...
Read more
I will discuss joint work with V. Alexeev which builds a correspondence between degenerations of polarized K3 surfaces and integral-affine structures on the 2-sphere containing a weighted balanced graph. Under...
Read more
We propose an externally imposed superlattice potential as a platform for manipulating topological phases, which has both advantages and disadvantages compared to a moire superlattice. In the first example, we...
Read more
In 2016, Ellenberg and Gijswijt made a breakthrough on the famous cap-set problem, which asks about the maximum size of a subset of (F_3)^n not containing a three-term arithmetic progression....
Read more
This seminar will be held in Science Center 530 at 4:00pm on Wednesday, October 12th. Please see the seminar page for more details: https://www.math.harvard.edu/~ctm/sem
Read more
We study them, in particular showing on a smooth complex quasi-projective variety the existence of ℓℓ-adic absolutely irreducible local systems for all ℓℓ the moment there is a complex irreducible...
Read more
The classical infinite Ramsey theorem states that if we colour pairs of natural numbers using two colours, there is an infinite set all of whose pairs get the same colour....
Read more
The minimal model program is an ambitious program that aims to understand the geometry of complex projective varieties (eg. manifolds defined by polynomial equations). In this talk we will discuss...
Read more
In this talk, we construct special Lagrangian fibrations for log Calabi--Yau surfaces and scattering diagrams from Lagrangian Floer theory of the fibers. These scattering diagrams recover the algebro-geometric scattering diagrams...
Read more
We will talk about our recent construction of the smallest closed exotic 4-manifolds with signature zero known to date. Our novel examples are derived from fairly special small Lefschetz fibrations...
Read more