In this talk, we shall discuss the theta series associated with positive definite integral quadratic forms and some of its applications in getting formulas for the number of representations of positive integers by quadratic forms, using the theory of modular forms. The second part of this talk...

 Rational matrices G(x) arise in many applications such as in vibration analysis of machines, buildings, and vehicles, in control theory and linear systems theory and as approximate solutions of other nonlinear eigenvalue problems. The spectral data (poles, zeros, eigenvalues, eigenvectors,...

In this talk, I will present Lax-Oleinik type explicit formulafor the solution of some balance laws and discuss its Structure Theory.

Google Meet link: meet.google.com/bvx-swhw-epg