Our study is motivated by earlier results about nodal count of
Laplacian eigenfunctions on manifolds and graphs that share the
same flavor: a normalized nodal count is equal to the Morse index
of a certain energy functional at the critical point...
Establishing inequalities among graph densities is a central
pursuit in extremal graph theory. One way to certify the
nonnegativity of a graph density expression is to write it as a sum
of squares or as a rational sum of squares. In this talk, we...
We will discuss a geometric re-interpretation of N=1 SQCD
with special unitary gauge groups. We will argue that the 4d
SU(M) SQCD in the middle of the conformal window can be
engineered by compactifying certain 6d SCFTs on three punctured
spheres. ...
Is every dynamically convex contact form on the three sphere
convex? In this talk I will explain why the answer to this question
is no. The strategy is to derive a lower bound on the Ruelle
invariant of convex contact forms and construct dynamically...
In this talk I will present my work initiating the study of
the C0C0 symplectic mapping class group, i.e. the group
of isotopy classes of symplectic homeomorphisms, and briefly
present the proofs of the first results regarding the topology of
the...
