Ankara-Istanbul AGNT - XXVI

Below you can find details of the third meeting of Spring 2018 term.

Click here for the IMBM poster.

Date: 12.05, 2018, Saturday

Place: Istanbul Center for Mathematical Sciences (IMBM), Bogazici University South Campus (Campus map)

How to get to IMBM

14:00 - 15:00 Derived Geometry and Physics III - Kadri İlker Berktav

Abstract: In the last part of the series, we shall investigate (i) the derived interpretation of a field theory in a sense that employing the Lagrangian formalism, for instance, one can realize a classical field theory as the derived critical locus of the action functional since it can be described as a formal moduli problem cut out by a system of PDEs determined by the corresponding Euler-Lagrange equations governing the system under consideration, and (ii) Costello’s approach to the structure of observables in a perturbative quantum field theory in the language of a conceptual framework so-called factorization algebra together with cohomological methods naturally arise in the theory of derived algebraic geometry. To be more specific, Costello’s main motivation to study factorization algebras associated to a perturbative QFT is to generalize the deformation quantization approach to quantum mechanics developed by Kontsevich. In other words, deformation quantization essentially encodes the nature of observables in one-dimensional quantum field theories and factorization algebra formalism provides a n-dimensional generalization of this approach.

15:30 - 16:30 Random Sparse Polynomials. - Turgay Bayraktar

(for the abstract of the whole series please click here)

17:00 - 18:00 Separation bounds for polynomial systems - Elias Tsigaridas (slides of the first talk of ZZ)

Abstract: Given a system of equations of polynomials with integer coefficients we present effective bounds on the number of bits that we need to represent the isolated roots of the system. The bounds depend on the number of variables, the bitsize of the input, and the mixed volume of the system.