This is joint work with Clément Dupont. Motivated by
double-copy (Kawai-Lewellen-Tye) formulae relating open and
closed superstring amplitudes at tree-level, I will explain a
general double-copy formula for period integrals on algebraic
varieties...
The h-principle for the simplification of caustics (i.e.
Lagrangian tangencies) reduces a geometric problem to a homotopical
problem. In this talk I will explain the solution to this
homotopical problem in the case of spheres. More precisely, I
will...
I will discuss recent work with Harald Helfgott in which we
establish roughly speaking that the graph
connecting nn to n±pn±p with pp a
prime dividing nn is almost "locally Ramanujan". As a
result we obtain improvements of results of Tao and Tao...
The talk introduces the Kazhdan-Lusztig equivalence between the
Kazhdan-Lusztig category of representations of affine algebra and
category of modules over the quantum group.
I will report on a joint work in progress with K. Coulembier and
V. Ostrik. We show that a symmetric tensor category in
characteristic p>0 admits a fiber functor to the Verlinde
category (semisimplification of Rep(Z/p)) if and only if it
has...
Dr. Monica Vazirani is a professor at UC Davis. She
received her PhD from UC Berkeley in 1999, after which she had an
NSF postdoc she spent at UC San Diego and UC Berkeley, as well as
postdoctoral positions at MSRI and Caltech. Dr.
Vazirani's...
Algorithms make predictions about people constantly. The
spread of such prediction systems has raised concerns that
algorithms may exhibit unfair discrimination, especially against
individuals from minority groups. While it's easy to
speculate on...
I will discuss joint work with Olga Plamenevskaya studying
symplectic fillings of links of certain complex surface
singularities, and comparing symplectic fillings with complex
smoothings. We develop characterizations of the symplectic
fillings...
One of Alan Turing's most influential papers is his
1950 Computing machinery and intelligence, in which
he introduces the famous "Turing test" for probing the nature
of intelligence by evaluating the abilities of
machines to behave as humans. In this...
A group is said to have bounded generation (BG) if it is a
finite product of cyclic subgroups. We will survey the known
examples of groups with (BG) and their properties. We will then
report on a recent result (joint with P. Corvaja, J. Ren and
U...
