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Texas A&M University

Events for 09/25/2020 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

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Time: 1:50PM - 2:50PM

Location: Zoom

Speaker: Jiaqi Yang, GeorgiaTech

Title: Persistence of Invariant Objects in Functional Differential Equations close to ODEs

Abstract: We consider functional differential equations which are perturbations of ODEs in $\mathbb{R}^n$. This is a singular perturbation problem even for small perturbations. We prove that for small enough perturbations, some invariant objects of the unperturbed ODEs persist and depend on the parameters with high regularity. We formulate a-posteriori type of results in the case when the unperturbed equations admit periodic orbits. The results apply to state-dependent delay equations and equations which arise in the study of electrodynamics. The proof is constructive and leads to an algorithm. This is a joint work with Joan Gimeno and Rafael de la Llave.

Algebra and Combinatorics Seminar

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Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Erika Ordog, Texas A&M

Title: Minimal resolutions of monomial ideals

Abstract: The problem of finding minimal free resolutions of monomial ideals in polynomial rings has been central to commutative algebra ever since Kaplansky raised the problem in the 1960s and his student, Diana Taylor, produced the first general construction in 1966. The ultimate goal along these lines is a construction of free resolutions that is universal -- that is, valid for arbitrary monomial ideals -- canonical, combinatorial, and minimal. This talk describes a solution to the problem valid in characteristic 0 and almost all positive characteristics.

Open Teaching with Technology Forum

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Time: 3:30PM - 5:00PM

Location: Zoom

Speaker: Vanessa Coffelt

Description: Join Zoom Meeting: Meeting ID: 931 4271 8312