Search

A. I. Algebraic Geometry Algebra/Logic DeLong Diversity Functional Analysis Grad Algebra/Logic Homotopy Init Conditions Kempner Lie Theory Math Club Math Phys Noncomm Geometry Number Theory PDE/Analysis Probability Rep Theory Grad Student Seminar Thesis Defenses Topology Ulam Math Edu

Events happening on October 24, 2017

Return to this week

Print these events

Oct. 24, 2017 1pm (MATH 220)	Grad Algebra/Logic Agnes Szendrei (CU Boulder) Local term operations on ultrapowers, Part 1
Oct. 24, 2017 2pm (MATH 220)	Agnes Szendrei (CU Boulder) Local term operations on ultrapowers, Part 2
Oct. 24, 2017 2pm (MATH 350)	Lie Theory Shawn Burkett (CU) X One common definition of a (finite) nilpotent group is that a group is nilpotent if and only if it has a central series which terminates in the trivial group. By defining appropriate analogs of the center and commutator subgroups, one may define central series for each supercharacter theory $S$ of a finite group $G$ . If there is a central series for $S$ which terminates in the trivial group, we will say that $G$ is $S$ -nilpotent. The concept of $S$ -nilpotence is a generalization of nilpotence in the sense that $S$ -nilpotence implies nilpotence and the two notions agree when $S$ is the finest supercharacter theory of $G$ . In this talk, we will describe the structure of those supercharacter theories $S$ for which $G$ is $S$ -nilpotent and show that when $G$ is $S$ -nilpotent, a number of familiar properties of $G$ hold and can be deduced from the supercharacter table of $S$ . We will also give several characterizations of $S$ -nilpotence as well as an analog of Fitting's theorem. A supercharacter theory version of nilpotence
Oct. 24, 2017 3pm (MATH 350)	Kempner Peter May (University of Chicago) X From P.A. Smith to the present. Around 80 years ago, Smith proved the remarkable result that if a finite $p$ -group $G$ acts on a compact space $X$ that has the mod $p$ homology of a sphere, then the fixed point space $X^{G}$ also has the mod $p$ homology of a sphere. Equivariant algebraic topology has developed in fits and starts ever since. I'll give some glimpses of current directions and questions. Glimpses of equivariant algebraic topology
Oct. 24, 2017 4pm (MATH 350)	Topology Peter May (UChicago) X I will review an ancient approach to nonequivariant infinite loop space theory and describe how it generalizes equivariantly. (I will not assume any prior knowledge of this area of mathematics.) Glimpses of equivariant infinite loop space theory

Return to the top of the page