Events for 09/25/2020 from all calendars
Mathematical Physics and Harmonic Analysis Seminar
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
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
Time: 3:30PM - 5:00PM
Location: Zoom
Speaker: Vanessa Coffelt
Description: Join Zoom Meeting: https://tamu.zoom.us/j/93142718312?pwd=c2x5Zm5RZWdheEJ4SU40N3VYMlFpdz09 Meeting ID: 931 4271 8312