Calendar

will speak on:

It is conjectured that two cubic fourfolds are birational if their associated K3 categories are equivalent. We prove this conjecture for very general cubic fourfolds of discriminant 20, where the birational maps are produced via certain Cremona transformations defined by Veronese surfaces. Using these birational maps, we find new rational cubic fourfolds. Joint work with Kuan-Wen Lai.

via Zoom Video Conferencing: https://harvard.zoom.us/j/837429475

Experimentalists are getting better and better at building qubits, but no matter how hard they try, their qubits will never be perfect. In order to build a large quantum computer, we will almost certainly need to encode the qubits using quantum error-correcting codes and encode the quantum circuits using fault-tolerant protocols. The central result of the theory of fault tolerance is the threshold theorem, which states that arbitrarily long and reliable quantum computations are possible if the error rate per gate or time step is below some constant threshold value. Fault tolerance can be nicely defined using graphical techniques, allowing for a relatively straightforward proof of the threshold theorem.

via Zoom: https://harvard.zoom.us/j/779283357

The SYZ conjecture predicts that for polarised Calabi-Yau manifolds undergoing the large complex structure limit, there should be a special Lagrangian torus fibration. A weak version asks if this
fibration can be found in the generic region. I will discuss my recent work proving this weak SYZ conjecture for the degenerating hypersurfaces in the Fermat family. Although these examples are quite
special, this is the first construction of generic SYZ fibrations that works uniformly in all complex dimensions.

If you would like to attend, please email spicard@math.harvard.edu

I will give an account of the work ArXiv:1907.08221 where we explore
the phase structure of the Standard Model as the relative strengths of
the SU(2) weak force and SU(3) strong force are varied. With a single
generation of fermions, the structure of chiral symmetry breaking
suggests that there is no phase transition as we interpolate between the
SU(3)-confining phase and the SU(2)-confining phase. Remarkably, the
massless left-handed neutrino, familiar in our world, morphs smoothly
into a massless right-handed down-quark. With multiple generations, a
similar metamorphosis occurs, but now proceeding via a phase
transition.

via Zoom Video Conferencing: https://harvard.zoom.us/j/977347126

Spin wave theory suggests that low temperature properties of the Heisenberg model can be described in terms of noninteracting quasiparticles called magnons. In my talk I will review the basic concepts and predictions of spin wave approximation and report on recent rigorous results in that direction. Based on joint work with Robert Seiringer.

via Zoom Video Conferencing: https://harvard.zoom.us/j/147308224

Triangulated surfaces are compact (hyperbolic) Riemann surfaces that admit a conformal triangulation by equilateral triangles. Brooks and Makover started the study of the geometry of random large genus triangulated surfaces. Mirzakhani later proved analogous results for random hyperbolic surfaces. These results, along with many others, suggest that the geometry of triangulated surfaces mirrors the geometry of arbitrary hyperbolic surfaces especially in the case of large genus asymptotics. In this talk, I will describe an approach to show that triangulated surfaces are asymptotically well-distributed in moduli space.

via Zoom: https://harvard.zoom.us/j/972495373