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.
Abstract: A classification of partial isometries defined on a Hilbert space can be made in terms of positions that two subspaces, the initial space and the final space, form. When the orthogonal projections onto two subspaces commute, any power of the partial isometry remains also a partial isometry. This type of partial isometry is called
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: Rough Singular Integrals: A1 theory Abstract: In this mostly expository talk we will discuss new results for rough Singular Integral Operators involving A1 weights. These are convolution operators whose kernels do not satisfy the standard regularity conditions (Lipschitz or Dini). Being more precise we will discuss estimates for these operators in the context of
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