Please join us Friday February 24, 2012 as Alfred Noël of the University of Massachusetts gives a talk on Molien Series and a Recent Theorem of Kostant. We will be serving coffee, tea, and cookies at 3:30 pm with the talk starting at 4:00 pm. The lecture will be held in our studio classroom at 929 Massachusetts Avenue Suite #102 in Cambridge. The abstract for Alfred Noël’s talk is listed below and we look forward to seeing you!

Abstract: In a 2007 paper entitled “On the Centralizer of K in U(g)”, Bertram Kostant gave an algorithm for computing the generators of the centralizer of a maximal compact group K in the enveloping algebra of a complex semisimple Lie algebra U(g). His motivation is to rescue an old program that sought to determine an irreducible Harish-Chandra module H of U(g) via the finite- dimensional action of the above centralizer on a primary k-component in H. “This original approach of Harish-Chandra to a determination of all H has largely been abandoned because one knows very little about generators of that centralizer”. However, Kostant’s approach produces an algorithm of very high time and space complexity. We present a different algorithm of a lower complexity and compute some previously unknown examples. This is joint work with Steven Jackson.

The Worldwide Center of Mathematics (www.centerofmath.org) is located midway between Harvard and Central Squares, at 929 Massachusetts Avenue, Cambridge, MA, in Suite #102. Travel to the Center by public transportation is easy via the #1 bus, or by taking the subway (the T) to Central Square, and walking for 10 minutes. Suite #102 is located on floor 01.

All attendees will need to sign a release form, as the lecture will be recorded for distribution on the Web.

Please join us Friday January 27, 2012 as Aaron Silberstein of Harvard University gives a talk on Plane Curve Singularities and the Absolute Galois Group of Q. We will be serving coffee, tea, and cookies at 3:30 pm with the talk starting at 4:00 pm. The lecture will be held in our studio classroom at 929 Massachusetts Avenue Suite #102 in Cambridge. The abstract for Aaron Silberstein’s talk is listed below and we look forward to seeing you!

Abstract: We demonstrate how topological singularity invariants are the key to “seeing” geometry inside of fundamental groups of function fields of surfaces, and explain the relation to Grothendieck’s program of Anabelian Geometry.

The Worldwide Center of Mathematics (www.centerofmath.org) is located midway between Harvard and Central Squares, at 929 Massachusetts Avenue, Cambridge, MA, in Suite #102. Travel to the Center by public transportation is easy via the #1 bus, or by taking the subway (the T) to Central Square, and walking for 10 minutes. Suite #102 is located on floor 01.

All attendees will need to sign a release form, as the lecture will be recorded for distribution on the Web.

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