Fri, Nov 14

Applied Math Seminar
Teng Wu (UB, School of Engineering and Applied Sciences)
AI-Empowered Wind and Hurricane Engineering
4:00PM, MATH 250

Recent advancements in performance-based wind engineering have placed new demands on wind characterization (e.g., duration consideration), aerodynamics modeling (e.g., transient feature) and structural analysis (e.g., nonlinear response). While conventional approaches in computational and experimental wind engineering provide valuable tools to overcome many of these emerging challenges, noticeable increase in use of artificial intelligence (AI) suggests its great promise in facilitating the implementation of performance-based wind design methodology. This talk will discuss state-of-the-art machine learning tools (e.g., knowledge-enhanced deep learning and deep reinforcement learning) that are successfully applied to wind climate analysis, transient aerodynamics, nonlinear structural dynamics, shape optimization and vibration control. The final part of this talk will extend the application of AI tools to enhance the coastal city resilience under hurricane hazards (wind, rain, and surge).

Wed, Nov 19

Analysis Seminar
Alexandru Chirvasitu (UB)
Spectrum incompressibility and continuous commutativity preservers
4:00PM, Mathematics Building, 110 Mary Talbert Way, University at Buffalo, NY 14260, USA

The Kaplansky-Aupetit question of whether Jordan epimorphisms between unital semisimple Banach algebras can be characterized as linear spectrum-shrinking surjections has spawned a vast literature on adjacent problems having to do with characterizing associative/Jordan morphisms as maps preserving various properties orinvariants. The talk's central result is to the effect that continuous, commutativity-preserving, spectrum-shrinking maps from \(X\) to the \(n\times n\)matrices are either conjugations or transpose conjugations whenever \(n\ge 3\)and \(X\) is any one of: the general linear, special linear or unitary \(n\timesn\) group, the set of semisimple matrices in either of the first two, or the set of \(n\times n\) normal matrices. Such maps in particular automatically preserve spectra, hence the title's ``incompressibility''. The proof leverages among other things the Fundamental Theorem of Projective Geometry, characterizing isomorphisms between lattices of subspaces as those induced by semi-linear isomorphisms.(joint with I. Gogi\'{c} and M. Toma\v{s}evi\'{c})

Mon, Dec 1

Algebra Seminar
Mahdi Asgari, Oklahoma State University and Cornell
TBA 
4:00PM, Mathematics Building, 110 Mary Talbert Way, University at Buffalo, NY 14260, USA

TBA

Mon, Dec 8

Algebra Seminar
Mihai Fulger, University of Connecticut
Infinitesimal successive minima and convex geometry 
4:00PM, 250 Mathematics Building

We introduce infinitesimal successive minima of a line bundle at a point. We define them in terms of base loci and show that they are also the lengths of the largest simplex contained in the generic infinitesimal Newton-Okounkov body (iNObody) of the line bundle at the point.  We characterize when the generic iNObody is simplicial. When the point is sufficiently general, we prove that the body is Borel-shaped, a property inspired by generic initial ideals. In particular, it satisfies simplicial lower bounds and polytopal upper bounds determined by its widths, which are again the infinitesimal successive minima. This is joint work with Victor Lozovanu

Fri, Feb 13

Applied Math Seminar
Di Qi (Purdue University)
4:00PM

Fri, Apr 10

Applied Math Seminar
Yulong Lu (U Minnesota)
4:00PM