Rank-one non-Hermitian deformations of tridiagonal
beta-Hermite Ensembles have been introduced by R. Kozhan several
years ago. For a fixed N and beta>0 the joint probability
density of N complex eigenvalues was shown to have a form of
a...
Large sieve inequalities are useful and flexible tools for
understanding families of L-functions. The quality of the
bound is one measure of our understanding of the corresponding
family. For instance, they may directly give rise to good
bounds...
I will survey recent progress on understanding the value
distribution of zeta and L-functions. In particular I will
discuss the problem of moments of the zeta function on the critical
line, and central values of L-functions, where the last
twenty...
On April 6, 1972 a young graduate student named Hugh Montgomery
and the world-renowned mathematical physicist Freeman Dyson had a
conversation in the tearoom at the Institute for Advanced Study
which led to a fusion of two disparate fields and an...
Relative symplectic cohomology is a Floer theoretic invariant
associated with compact subsets K of a closed or geometrically
bounded symplectic manifold M. The motivation for studying it is
that it is often possible to reduce the study of global...
We revisit the lattice formulation of the Schwinger model using
the Kogut-Susskind Hamiltonian approach with staggered fermions.
This model, introduced by Banks et al., contains the mass
term mlat ∑n (−1)nχ†nχn, and setting it to zero is often...
Gromov-Witten invariants for a general target are
rational-valued but not necessarily integer-valued. This is due to
the contribution of curves with nontrivial automorphism groups. In
1997 Fukaya and Ono proposed a new method in symplectic
geometry...
In this talk I will discuss aspects of decoupling fields that
appear in the engineering of 4d SCFTs from compactifications of 6d
(1,0) SCFTs of A_(N-1) type. By studying various ways of
constructing the anomaly polynomial for the 4d theory, it is...
Homeomorphism is called contact if it can be written as C0-limit
of contactomorphisms. The contact version of Eliashberg-Gromov
rigidity theorem states that smooth contact homeomorphisms preserve
contact structure. Submanifold L of a contact...
