Integrable Systems seminar

[Boris Dubrovin]

Dear All,

In 2016/17 acad. year the meetings of the Integrable Systems seminar will take place on Wednesdays at 16:00 - 17:30, Room 134 of SISSA Main Building. See below the details about the first two seminars.

Best regards,

Boris Dubrovin

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

October 12, 16:00-17:30, Room 134 of SISSA Main Building

Speaker: G.Cotti (SISSA)

Title: Quantum Cohomology of Grassmannians and Distribution of Prime Numbers

Abstract: Quantum Cohomology of a symplectic manifold X (or a smooth projective variety) is a family of deformations of its classical Cohomology ring H*(X), and it contains information about the enumerative geometry of X. After recalling basic notions of Gromov-Witten and Frobenius Manifolds Theories, we will focus on the locus of Small Quantum Cohomology of complex Grassmannians: the occurrence and frequency of a phenomenon of resonance (namely the coalescence of some Dubrovin canonical coordinates) will be studied. It will be shown that surprisingly this frequency is strictly subordinate and highly influenced by the distribution of prime numbers. Two equivalent formulations of the Riemann Hypothesis will be given in terms of numbers of non-coalescing complex Grassmannians.

October 19, 16:00-17:30, Room 134 of SISSA Main Building

Speaker: Prof. D.Yafaev (Univ. Rennes)

Title: Quasi-diagonalization of Hankel operators and rational approximations of singular functions

Abstract: see the attached file