This Week in Mathematics


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Entries for this week: 6

Tuesday September 02, 2025

Geometry and Topology [url]
TBA
- Hyein Choi, Rice University
Time: 3:05 Room: 231
More Information
Abstract/Desc: TBA

Wednesday September 03, 2025

Biomathematics Journals
Highly Nonrandom Features of Synaptic Connectivity in Local Cortical Circuits
- Richard Bertram, FSU
Time: 5:00 Room: Dirac library

Thursday September 04, 2025

Financial Math
Linear Function Approximations in Partially Observed Reinforcement Learning
- Ali Kara, Florida State University
Time: 3.05 Room: 105

Friday September 05, 2025

Data Science and Machine Learning
Incorporating Self-Repulsion into Riemannian metrics
- Elias Döhrer, TU Chemnitz
Time: 1:20 Room: Zoom
Abstract/Desc: Inspired by the work of Michor, Bauer, Bruveris, Maor et al. on the manifold of immersed curves, we propose a new strong Riemannian metric on the manifold of (parametrized) embedded curves of H^s regularity, s in (3/2,2). The construction is motivated by the concept of tangent-point energies, a family of self-avoiding functionals on curves and surfaces of arbitrary dimension. Their notion of self-repulsion allowed us to capture the topological property „embeddedness“ in a continuous way. This talk illustrates the impact of this metric and highlights its most important features, namely metric and geodesic completeness, relative compactness of bounded sets with respect to the weak H^s topology, and existence of length-minimizing geodesics between every pair of curves in the same knot class. https://arxiv.org/abs/2501.16647

Mathematics Colloquium [url]
Mathematical structures in generative linguistics
- Matilde Marcolli, California Institute of Technology
Time: 3:05 Room: Lov 101
Abstract/Desc: Human language, especially syntax, is a highly structured computational mechanism and, as such, it is suitable for mathematical modeling. The field of generative linguistics has incorporated the use of algebraic structures modeling natural language since the mid 1950s, but Chomsky's most recent formulation of Merge as the key structure building operation in syntax reveals that the combinatorics of syntactic structures and their semantic parsing obey similar mathematical laws to those that govern the extraction of meaningful physical values from the combinatorics of Feynman diagrams in quantum field theory. The talk is based on joint work with Noam Chomsky and Robert Berwick.

Saturday September 06, 2025

Financial Math
TBD
- Dominykas Norgilas, North Carolina State University
Time: 3.05 Room: 105

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Department of Mathematics

This Week in Mathematics