# Events for September 13, 2018 from General and Seminar calendars

## Promotion Talk - Professor Anne Shiu

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

**Location:** BLOC 220

**Speaker:** Professor Anne Shiu, Texas A&M University

**Description:**

TITLE: Dynamics of biochemical reaction systems

ABSTRACT:

Reaction networks taken with mass-action kinetics arise in many settings, from epidemiology to population biology to systems of chemical reactions. This talk focuses on certain biological signaling networks, namely, phosphorylation networks, and their resulting dynamical systems. For many of these systems, the set of steady states admits a rational parametrization (that is, the set is the image of a map with rational-function coordinates). We describe how such a parametrization allows us to investigate the dynamics, including the emergence of bistability in a network underlying ERK regulation, and the capacity for oscillations in a mixed processive/distributive phosphorylation network.

## Banach Spaces Seminar

**Time:** 5:00PM - 5:50PM

**Location:** BLOC 220

**Speaker:** Michal Wojciechowski, IMPAN, Warsaw

**Title:** *On yet another analogon of Riesz brothers theorem for Sobolev space*

**Abstract:**We show that the quotient space BV/W

^{1,1}is isomorphic to the space of bounded borel measures. Here BV denotes the space of functions of bounded variation and W

^{1,1}the Sobolev space of functions with integrable gradient on regular domain. One can see this as an analogon of Pełczyński's result that dual to the space of C

^{1}-smooth functions is a separable perturbation of the space of measures. Main ingredients of a proof are G. Alberti rank one theorem and extension/averaging results for Sobolev and BV spaces