Events
Department of Mathematics and Statistics
Texas Tech University
Abstract PDF
Please watch online via this Zoom link.
After briefly recalling how the analog of Dirac charge quantization in exotic (effective, higher) gauge theories, providing their global topological completion, is encoded in a choice of classifying space 𝒜 whose rationalization reflects the flux Bianchi identities, I explain how the choice 𝒜 ≔ S^2 (“flux quantization in 2-Cohomotopy”) implements effective corrections to ordinary Dirac flux quantization, which over surfaces yields exactly the topological quantum observables of fractional quantum Hall systems, traditionally described by abelian Chern-Simons theory. I close by briefly indicating how this situation is geometrically engineered on probe M5-branes if the M-theory C-field is flux-quantized in 4-Cohomotopy (“Hypothesis H”). This is joint work with Hisham Sati; for more pointers see ncatlab.org/schreiber/show/ISQS25.We will discuss p-adic numbers, the p-adic absolute value, completions, and additive valuations in order to understand Hensel's Lemma and its applications.
Abstract. This presentation introduces a novel numerical approach for quasi-static crack propagation in strain-limiting materials, employing a regularized variational model. We tackle the significant challenge of crack-tip strain singularities by formulating a logically consistent strain-energy density in terms of nonlinear constitutive relationships. The resultant problem posed as variational equality and inequality necessitates an adaptive finite element method, guided by residual-based error estimates, to resolve internal layers near the crack tip effectively. We provide a convergence analysis and validate the algorithm's effectiveness through numerical examples. This is a collaborative effort with my postdoc, Dr. Ram Manohar. Additionally, this material is based on work supported by the NSF under Grant No. 2316905.
When: 4:00 pm (Lubbock's local time is GMT -6)
Where: room Math 011 (Math Basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 979 1333 6658
* Passcode: Applied (Note the capital letter "A")
 | Thursday
Mar. 27
6:30 PM
MA 108
|
| Mathematics Education
Math Circle
Hung Tran
Mathematics and Statistics, Texas Tech University
|
Math Circle Spring Poster
abstract noon CDT (UT-5)
Zoom link available from Dr. Brent Lindquist upon request.