Skip to content
# Events for December 1, 2017 from General and Seminar calendars

## Mathematical Physics and Harmonic Analysis Seminar

## Inverse Problems Seminar

## Algebra and Combinatorics Seminar

**Abstract:** To a linear difference system S is associated a differential Galois group G that measures the differential-algebraic properties of the solutions. We say S is integrable if its solutions also satisfy a linear differential system of the same order, and we say S is projectively integrable if it becomes integrable “modulo scalars”. When the coefficients of S are in C(x) and the difference operator is either a shift, q-dilation, or Mahler operator, we show that if S is integrable then G is abelian, and if S is projectively integrable then G is solvable. As an application of these results one can show certain generating functions arising in combinatorics satisfy no algebraic differential equations. This is joint work with Michael Singer.

## Geometry Seminar

## Linear Analysis Seminar

**Abstract:** TBA

**Time:** 1:50PM - 2:50PM

**Location:** BLOC 628

**Speaker:** Mahmood Ettehad, Texas A&M University

**Title:** *Network graph reconstruction from path correlations (joint with Inverse Problems Seminar)*

**Time:** 1:50PM - 2:50PM

**Location:** BLOC 628

**Speaker:** Mahmood Ettehad, Texas A&M University

**Title:** *Network graph reconstruction from path correlations (Joint with Math Physics and Harmonic Analysis seminar))*

**Time:** 3:00PM - 4:00PM

**Location:** BLOC 117

**Speaker:** Carlos Arreche, UT Dallas

**Title:** *Projectively integrable linear difference equations and their Galois groups*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** Jose Rodriguez, University of Chicago

**Title:** *TBA*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Li Gao, University of Illinois at Urbana-Champaign

**Title:** *TBA*