MenuEvents for 04/14/2025 from all calendars
Geometry Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 302
Speaker: J. Wilson, Colorado State
Title: DETECTING CLUSTER PATTERNS IN TENSOR DATA USING LIE THEORY
Abstract: I'll introduce a class of cluster patterns for tensor data used in pattern matching, outlier detections, statistics and signal processing. Then I will show they are all shadows of a general pattern detected efficiently by algebra, specifically Lie theory. It is a direction with many open problems, some about theory, others about applied improvements. Reports on joint work with Brooksbank and Kassabov.
Applied Math Seminar
Time: 4:00PM - 5:00PM
Location: Zoom
Speaker: John Lowengrub, UC Irvine
Title: Thermodynamically consistent modeling of the chemomechanical regulation of growing tumors
Abstract: Mechanical forces and biochemical signaling networks play a crucial role in cell behavior in growing tissues. The nonlinear dynamics of tissue growth arises from complex interactions between cells and their surroundings. However, the role of chemomechanical regulation which governs the size, shape, and structure of multicellular tissues remains insufficiently understood. To investigate this, we develop a thermodynamically consistent models in the Eulerian framework to simulate nonlinear tissue growth in confined geometries. Our formulation integrates both elastic and chemical energies through an energy variational approach. We consider both sharp and diffuse interface approaches. Additionally, we implement efficient numerical methods with a special boundary treatment to incorporate applied forces. We compare the model results to experimental data on tumor spheroid growth under varying mechanical conditions and find good agreement between the two. We confirm the validity of our diffuse interface (phase-field) model by demonstrating its convergence to the sharp-interface model. Furthermore, we examine how elastic forces, variations in tumor and host stiffness, and external forces influence the evolution of single and multifocal tumors in confined geometries. Zoom: https://tamu.zoom.us/j/94220070032
URL: Event link
Student/Postdoc Working Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 302
Speaker: JM Landsberg, Texas A&M
Title: Geometry of Instanton bundles.
Abstract: This will be independent of previous lectures. I will explain instanton bundles on P^3 and how to construct them from geometric data following parts of MR0514430 - Stable vector bundles of rank 2 on P3 Hartshorne, Robin Math. Ann. 238 (1978), no. 3, 229–280.
