Upcoming MAMS Seminar Series
Fall 2025
9/16/2025, Tue. 2:30-3:30 pm in Clark 309
Speaker: Michał Wojciechowski (Polish Academy of Sciences)
Title: On the Mityagin-DeLeeuw-Mirkhil theorem with differential constraints
Abstract: The classical result of the authors mentioned in the title says that the uniform norm of Q(D)f is bounded by the uniform norms of Q_j(D)f, j=1,2,…,k for functions f of compact support if and only if Q is in the span of Q_j’s (here Q and Q_j’s are homogeneous polynomials of the same degree). In the talk I will present the analogs of this result with additional constraint that the estimate holds only for f being a solution of differential equation P(D)f=0.
This is joint work with Eduard Curca.
Fall 2025
Fall 2025
Fall 2025
9/3/2025, Wed. 1-2 pm in AW Smith B01
Speaker: Johnny Taylor (Case Western Reserve University)
Title: Globularly modelling E_infinity Spaces
Abstract: We construct a theory for globular symmetric monoidal infinity-groupoids and begin the
process of using them to model E_infinity spaces.
8/27/2025, Wed. 1-2 pm in AW Smith B01
Speaker: Johnny Taylor (Case Western Reserve University)
Title: Controlled Theories
Abstract: Classically, a Lawvere theory may be presented with generators and relations which determine the structure of its models. This is fine to handle notions of algebras in the category of Sets but fails in higher dimensions due to conflicting structure data in a Lawvere theory. Controlled theories as introduced by the speaker are a framework for
categorical algebra which extends Lawvere theories and consists of generators, relations and an additional control component which includes into the presentation. The control component ensures that the issue of conflicting structure data is non-existent. We begin to show that this extension serves as a natural framework to do higher categorical algebra.