### DIMACS Theoretical Computer Science Seminar

Title: Arithmetic complexity of symmetric polynomials

Speaker: **Pavel Hrubes**, Institute of Mathematics of the Academy of Sciences of the Czech Republic

Date: Wednesday, February 11, 2009 11:00-12:00pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ

The problem of proving superpolynomial lower bounds on sizes of formulas
computing an explicit polynomial is one of the important open questions in
complexity theory. The same applies to more restricted computational models,
such as homogeneous formulas. In particular, it is not known whether
homogeneous formulas are more powerful than unrestricted formulas.

I will illustrate this problem on the example of elementary symmetric
polynomials, which are natural candidates for a potential separation.

(Joint work with Amir Yehudayoff)