Seminários, para a disseminação informal de resultados de investigação, trabalho exploratório de equipas de investigação, actividades de difusão, etc., constituem a forma mais simples de encontros num centro de investigação de matemática.
O CAMGSD regista e publica o calendário dos seus seminários há bastante tempo, servindo páginas como esta não só como um método de anúncio dessas actividades mas também como um registo histórico.
This presentation explores Mean Field Games (MFGs) through the lens of functional analysis, focusing on the role of monotonicity methods in understanding their properties. We begin by introducing MFGs as models of large populations of interacting rational agents and illustrate their derivation for deterministic problems. We then examine key questions regarding the existence and uniqueness of MFG solutions. Specifically, we present several new existence theorems obtained via $p$-Laplacian regularization. Finally, we discuss weak-strong uniqueness and establish conditions under which weak and strong solutions of MFGs coincide.
A well-known folklore theorem classifies 2-dimensional topological quantum field theories (TQFTs) in terms of Frobenius algebras, providing a unifying link between topology, algebra, and physics. In this talk, we explore what happens when the usual cobordism category is replaced by a category of nested cobordisms, in which 2-dimensional surfaces are equipped with embedded 1-dimensional submanifolds. We study symmetric monoidal functors out of this category and the resulting algebraic structures they encode. This talk is based on joint work with R. Hoekzema, L. Murray, N. Pacheco-Tallaj, C. Rovi, and S. Sridhar.
