# GAUSS (Graduate and Undergraduate Students Seminar)

## Upcoming Seminars for Fall Semester

Unless otherwise noted, the Fall Semester GAUSS talks will be on Fridays at 4:00PM in S2 308.

**September 5, 2014; 4:00PM in S2 308**: David Heywood (Fresno State Student)

**Title: Multiplier Sequences**

**Abstract:** Suppose we have a polynomial with all real roots. If we take that polynomial and multiply it term-by-term by the terms of a sequence, does the resulting polynomial still have all real roots? Of course, the answer depends on the sequence and the polynomial. Surprisingly, though, there are some sequences that preserve real roots regardless of the polynomials that we start with. These are called multiplier sequences.

In this talk, we will discuss some known facts about multiplier sequences. Along the way, we will look at examples and extend our discussion to other types of sequences that have interesting properties. This informal presentation should be very accessible to students of all levels.

**If you need a disability-related accommodation or wheelchair access information, please contact the Mathematics Department at 559.278.2992 or e-mail** math.office@csufresno.edu. **Requests should be made at least one week in advance of the event.**