Time: 15:30
Room: MC 107
Speaker: Robin Koytcheff (Brown)
Title: A colored operad for infection of links

Ryan Budney recently constructed an operad that encodes splicing of knots and extends his little 2-cubes action on the space of (long) knots. He further showed that the space of knots is freely generated over the splicing operad by the subspace of torus and hyperbolic knots. Infection of knots (or links) by string links is a generalization of splicing from knots to links and is useful for studying concordance of knots. In joint work with John Burke, we construct a colored operad that encodes this infection operation.

Time: 14:30
Room: MC 107
Speaker: Ekaterina Shemyakova (Western)
Title: Completeness of Wronskian Formulas for Darboux transformations or order 2

I shall report about my 2011 results, which is the resolution of one long standing problem in the theory of Darboux transformations. It is known that many Darboux transformations can be constructed using Darboux Wronskian formulas. The only known exceptions have been two transformations of order one - Laplace transformations, which are often used in applications. I shall show that for order one there is no other exceptions and that for order two Wronskian formulas are complete. History of the question as well as an introduction into the area will be provided.

Time: 14:30
Room: MC 107
Speaker: Asghar Ghorbanpour (Western)
Title: Selberg Trace Formula and Heisenberg Group(2)

Time: 14:40
Room: MC 107
Speaker: Nicole Lemire (Western)
Title: TBA