Surgery and Geometry (16w2689)


(Indiana University)

(University of Aberdeen)

Guoliang Yu (Texas A&M University)


The Banff International Research Station will host the "Surgery and Geometry" workshop in Banff from July 22, 2016 to July 24, 2016.

Manifolds are higher dimensional spaces which are the solutions to sets of equations in many variables. They arise in many branches of sciences, most notably physics and dynamical systems. Surgery is a cut-and-paste operation which leads to the topological classification of manifolds of dimension greater than four. It also gives information on manifolds of all dimensions. Surgery, in its modern formulation, connects with most other fields of theoretical mathematics, including algebra, analysis, group theory, and geometry. This workshop will focus on current research in surgery theory and with a focus on applications to and connections with geometry. This workshop follows the week-long summer school "Classification of Manifolds" held at University of Calgary and aimed at future and recent Ph.D.’s. The workshop will facilitate the interaction between summer school participants and research mathematicians.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).