Research
Seminars
This is a list of recent and future talks at all faculty-organized seminars currently running at the department. Click on the provided links to see older talks.
You might also be interested in the student-only seminar organized by our graduate students.
Algebra & logic seminar (JGH 219, F 9-10, M. Kinyon)
Jan 6: Petr Vojtechovsky, Computational aspects of loop theory
Jan 13: David Stanovsky (Charles University in Prague, Czech Republic): Modern universal algebra
Jan 20: David Stanovsky (Charles University in Prague, Czech Republic): Algebra and Constraint Satisfaction
Feb 10: David Stanovsky (Charles University in Prague, Czech Republic): Abelian Algebras
I will explain the general concept of abelianess (or diagonal normality, in the terminology of JDH Smith) and the basic theory around it.
Feb 17: David Stanovsky (Charles University in Prague, Czech Republic): Nilpotent and Solvable Algebras
The concept of abelianess relativized to congruences leads to the general definitions of the center, the commutator, solvability and nilpotency. In particular, it determines what I believe is the correct definition of a solvable / nilpotent quasigroup and loop.
Analysis & dynamics seminar (JGH 219, Fr 10-11, N. Ormes)
Jan 20, 27, Feb 10: Frederic Latremoliere, Noncommutative Solenoids I-III
A noncommutative solenoid is the twisted C*-algebra of the group (Q_N)^2 where Q_N is the group of the N-adic rationals. In the paper upon which this talked is based, we use techniques from noncommutative topology to classify these C*-algebras up to *-isomorphism in terms of the multipliers of (Q_N)^2 . We also establish a necessary and sufficient condition for simplicity of noncommutative solenoids, compute their K-theory and show that the K0 groups of noncommutative solenoids are given by the extensions of Z by Q_N . We give a concrete description of non-simple noncommutative solenoids as bundle of matrices over solenoid groups, and we show that irrational noncommutative solenoids are real rank zero AT C*-algebras.
Graduate colloquium (JGH 315, F 2-3, N. Dobrinen)
The colloquium is intended for student reports concerning their current research, and for faculty and visitors' lectures on introductory topics. The colloquium is regularly followed by a tea.
Jan 20: Natasha Dobrinen, The Ellentuck space and Ramsey ultrafilters
Feb 10: Thomas French, Spatial Voting Theory as a Predictive Model for Elections
We will attempt to formulate spatial models of committee votes and mass elections which will allow us to make some general predictions about which policy issues are favored in votes, what actions will best help candidates achieve victory in elections, and which candidates are better positioned to do so. We will discuss the assumptions made by political scientists when predicting elections, and how those assumptions affect the models we use.