### 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.