Seminars, Colloquia, and Conferences
Colloquium
The colloquium meets on Fridays at 4:00pm in
BromfieldPearson 101, unless otherwise indicated.
Fall 2016
September 16, 2016
Metamathematical framework for a new music; inspired by Algebraic Geometry
Bangere P. Purnaprajna (University of Kansas)
Abstract:
It is wellknown that one can obtain deep insights about algebraic varieties defined
over a field K by working in a more general setting where varieties are defined over
rings containing K. In particular, the behavior of a variety as it moves in a family is
of deep interest, and plays a vital role in the theory of moduli spaces. This viewpoint
has yielded many interesting results, a few of which are proved by the speaker and his
collaborators. Inspired by these results and by Grothendieck's writing on nilpotents
in algebraic geometry, we develop a meta geometric framework for a new music that
integrates elements of Indian and western classical music, Jazz and the Blues. This
is part of an ongoing work with David Balakrishnan, director of the Turtle Island
String Quartet. This talk will feature some music as well.
September 23, 2016
Tempered representations: the stellar picture
Pierre Clare (Dartmouth University)
Abstract:
HarishChandra's Plancherel formula for semisimple Lie groups is a deep result of
harmonic analysis that can be seen as a generalization of the theory of Fourier series
in the context of unitary representations. The classes of representations that occur in
the Plancherel measure of a given group form a topological space called the tempered dual
of that group.
The purpose of this talk is to show how the use of C*algebras allows to study the
tempered dual of a Lie group as a noncommutative space and casts a new light on
representationtheoretic problems. The main concepts will be illustrated on 'small'
concrete examples.
September 30, 2016
The social role of mathematical proofs
Kenny Easwaran (Texas A&M University)
October 7, 2016
Student Presentations from Directed Reading Program
Ruth MeadowMcLeod, Ryan Kohl, and Zach Munro
October 14, 2016
Title TBA
Ronny Ramlau (Johannes Kepler University Linz)
November 4, 2016
Economic inequality from statistical physics point of view
Victor Yakovenko (University of Maryland, Physics Dept.)
Abstract:
By analogy with the probability distribution of energy in statistical physics,
the probability distribution of money among the agents in a closed economic system
is expected to follow the exponential BoltzmannGibbs law, as a consequence of entropy
maximization. Analysis of empirical data shows that income distributions in the USA,
European Union, and other countries exhibit a welldefined twoclass structure.
The majority of the population (about 97%) belongs to the lower class characterized
by the exponential ("thermal") distribution. The upper class (about 3% of the population)
is characterized by the Pareto powerlaw ("superthermal") distribution, and its share of
the total income expands and contracts dramatically during booms and busts in financial
markets. Globally, data analysis of energy consumption per capita around the world shows
decreasing inequality in the last 30 years and convergence toward the exponential probability
distribution, in agreement with the maximal entropy principle. Similar results are found
for the global probability distribution of CO2 emissions per capita.
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Spring 2017
February 24, 2017
Title TBA
David ZureickBrown (Emory College)
