Location: Cupples I, Room 199 | Host: Prof. John McCarthy

Abstract: In this talk, we introduce two recent results about automorphism groups. Both discuss the possibility of automorphisms. We also introduce a conjecture related to the results.

Location: Cupples I, Room 199 | Host: Prof. John McCarthy

Abstract: A Parseval frame on a separable Hilbert space is a generalization of an orthonormal basis. In particular, it is a countable collection of vectors with the property that the Parseval identity still holds.

Location: Cupples I, Room 199 | Host: Prof. John McCarthy

Abstract: Given a polynomial P on the n-dimensional unit polydisk, form the polynomial Q by replacing the coefficients of P with their absolute values. Obviously, the supremum norm of P on the polydisk is bounded by the supremum norm of Q. What

Abstract: The Cheeger-Gromov compactness theorem states under assumptions, a sequence of Riemannian manifolds will convergent to their limit Riemannian manifold in some sense. The relative theory has been intensely studied.

Abstract: Lagrange in the eighteenth century and Hamilton in the nineteenth century reformulated classical mechanics, considering the problem on (respectively) the velocity and momentum phase spaces.

Professor Dan Shen, Department of Mathematics, University of North Carolina

Location: Cupples I, Room 199 | Host: Prof. Ed Spitznagel | Tea@3:45 pm, Room 200

Abstract: High dimensionality has become a common feature of data encountered in many divergent fields, such as imaging and genetic analysis, which provides modern challenges for statistical analysis.

Location: Cupples I, Room 199 | Host: Prof. John McCarthy

Abstract: Lehner's conjecture from the 1930's is a number theoretic conjecture concerning the locations of zeros of complex polynomials with integer coefficients.