Geometry and Topology

Speaker:

"No seminar"

Time: 15:30

Room: MC 107

Noncommutative Geometry

Speaker: Sheldon Joyner (Western)

"Quantized Theta Functions I"

Time: 15:30

Room: MC 106

In this informal lecture series we discuss Manin's work on quantum versions of theta functions

Stable Homotopy

Speaker: Enxin Wu (Western)

"Spanier-Whitehead Category and Adams' Stable Homotopy Category"

Time: 14:00

Room: MC 107

Analysis Seminar

Speaker: Gordon Sinnamon (Western)

"Bootstrapping and the Fourier Transform"

Time: 15:30

Room: MC 108

Techniques from the theory of positive integral operators are applied to give a new method for generating weighted Fourier inequalities.

Colloquium

Speaker: Krzysztof Kurdyka (Université de Savoie)

"When injectivity of selfmaps implies surjectivity ? "

Time: 15:30

Room: MC 106

It is known  that injective polynomial maps Cⁿ -> Cⁿ are surjective. In fact a theorem of Ax (1968) states that this is also true for injective regular maps X -> X, where X is an algebraic (possibly singular) variety over algebraically closed field of char =0. The same problem over the field of reals is more difficult. Bialynicki-Birula and Rosenlicht (1962) have proved that injective polynomial maps Rⁿ -> Rⁿ are surjective. But the general case of algebraic injective maps X-> X , where  X is real algebraic (possibly singular), was solved only recently by the author. The method is essentially topological (Borel-Moore homology), based on a fine decomposition of real algebraic sets into so called arc-symmetric components.

Noncommutative Geometry

Speaker: Masoud Khalkhali (Western)

"Introduction to the classical theory of theta functions"

Time: 15:00

Room: MC 108

Algebra Seminar

Speaker: Emre Coskun (Michigan State University)

"The moduli space of representations of Clifford algebras"

Time: 15:30

Room: MC 106