Math Department
Algebra/Topology Seminar – Sergio Fabi, UA Department of Physics
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: Lie Groupoid Abstract: Motivation and introduction to the general theory of groupoid, Lie groupoid and Lie algebroid. Few examples are given, in particular the gauge groupoid.
Algebra/Topology Seminar – Sergio Fabi, University of Alabama Department of Physics
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: Atiyah sequence Abstract: Review of the theory of exact sequences to define a connection on a principal bundle. The construction of a gauge theory of gravity on a Lie algebroid is considered.
Last Math Undergrad Tea of the Semester and Putnam Exam Pep Rally
302 Gordon Palmer HallOn Saturday, December 3, the UA Putnam team will compete in the 77th annual Putnam Exam. Come to tea, cheer on the team and celebrate the end of the semester. There will be special refreshments and a visit by Big Al!
Analysis Seminar – Geoff Diestel, Texas A&M of Central Texas
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Determining Convex Bodies from Central Sections Abstract: Barker and Larman posed a problem which asks if a convex body in real n-space is uniquely determined by the volumes of its hyperplane sections supported by an internal compact convex set. A survey of some partial results along with the Minkowski uniqueness theorem are presented along
Undergraduate Math Tea
302 Gordon Palmer HallSeminar – Hristo Sendov, University of Western Ontario
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesEvery Calculus student is familiar with the classical Rolle’s theorem stating that if a real polynomial p satisfies p(−1) = p(1), then it has a critical point in (−1, 1). In 1934, L. Tschakaloff strengthened this result by finding a minimal interval, contained in (−1, 1), that holds a critical point of every real polynomial
Dissertation Defense – Noufe Aljahdaly
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesSeminar – Nickolas Castro, University of California
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTrisections Diagrams for Smooth 4-manifolds Abstract: A trisection of a smooth, compact, oriented 4-manifold X is a decomposition of X into three diffeomorphic codimension 0 submanifolds which have certain nice intersection properties. This decomposition, which is a 4-dimensional analog of Heegaard splittings of 3-manifolds, is known to exists for all smooth, compact 4-manifolds. There are
Seminar – Francesco Di Plinio, University of Virginia
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Sparse domination of singular integral operators. Abstract: Singular integral operators, which are a priori signed and non-local, can be dominated in norm, pointwise, or dually, by sparse averaging operators, which are in contrast positive and localized. The most striking consequence is that weighted norm inequalities for the singular integral follow from the corresponding, rather
Seminar – Samuel Lisi, University of Mississippi
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: Constructions of symplectic fillings Abstract: Bourgeois constructed a family of contact structures on $M \times T^2$ if $M$ is contact, using Giroux's open book decomposition. We will see that these are very sensitive to the page of the open book, but less so to the monodromy. We will also see that many of these