Speaker:

Prabhat Kumar Jha, TIFR

## Time:

Saturday, 4 July 2020, 16:00 to 17:00

## Organisers:

**Zoom Details:**

Link: https://zoom.us/j/98172222418?pwd=b0htSDQ5NDRKQ050K0d6cHJ3YnZXQT09

Meeting ID: 981 7222 2418

Password: studsem

**Abstract: **Many optimization problems reduce to finding truth value of quantified formulas over real or/and complex numbers. In this talk we will cover a proof of decidability of theories of real numbers and complex numbers due to Tarski. We will begin by providing an algorithm to locate roots of multi-variable polynomials over these fields and then use quantifier elimination techniques to prove decidability. If time permits, we will discuss its applications to optimization and verification problems.

Note: There is no prerequisite from Mathematical Logic or Computability theory.