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Topology Seminar

Title:  The Freudenthal Suspension Theorem

Abstract:  The Freudenthal suspension theorem asserts that for an (n-1)-connected CW complex X the suspension map from \pi_i(X) to \pi_{i+1}(SX) is an isomorphism for i < 2n - 1 and a surjection for i = 2n - 1. We will introduce relative homotopy groups and the long exact sequence in homotopy groups for a space X and a subspace A. With these tools we will show how the Freudenthal suspension theorem follows from the homotopy excision theorem. Time permitting, we will examine some consequences for homotopy groups of spheres.

Date:
-
Location:
745 Patterson Office Tower
Event Series:

Analysis and PDE Seminar--Qualifying Exam

Title:  Using the method of layer potentials to solve a mixed boundary value problem

Abstract:  Following the exposition by William McLean in his book Strongly Elliptic Systems and Boundary Integral Equations, we use the method of layer potentials to show that on a bounded Lipschitz domain, the mixed problem for Laplace’s equation is equivalent to a 2 × 2 system of boundary integral equations.

Date:
-
Location:
745 Patterson Office Tower
Event Series:

Jeff Babbitt, Scientific Glassblower

The University of Kentucky Chemistry Department's glass shop has been run by Jeff Babbitt for almost 25 years now. Jeff does a variety of things -- from simple repairs to the construction of complicated vacuum line systems. Babbitt's job is a highly specialized one and as Jeff himself says, "a lot of people don't know about it." Here is a glimpse into the life of Scientific Glassblower, Jeff Babbitt.

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