Title : Contact geometry in low dimensions Abstract: This series of talks will be about explaining some fundamental open problems in three-dimensional contact geometry. This third talk will be on overtwisted vs. tight dichotomy (or flexible vs. rigid), and existence problem of tight contact structures.
Title : On polynomial n-tuples of commuting isometries Abstract : We extend some of the results of Agler, Knese, and McCarthy to n-tuples of commuting isometries for n>2. Let V=(V_1,...,V_n) be an n-tuple of a commuting isometries on a Hilbert space and let Ann(V) denote the set of all n-variable polynomials  p such that p(V)=0.
Title: 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.
Title: 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.
Title: 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.
On 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!
Title: 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