22 |
23 |
24 Analysis Seminar
Analysis Seminar Speaker: Steven Lu (UQAM) "Entire holomorphic curves in birational geometry" Time: 14:30 Room: MC 107 After a brief review of classical
function theory on C, we will
discuss its extension to functions with
values in an algebraic variety, i.e. an
entire holomorphic curve, and motivate
the fact that such a curve should be
constrained by birational invariants of
the variety that pertains to "hyperbolicity."
We will verity this conjectural fact for
varieties of maximal Albanese dimension,
itself a birational invariant. We will assume
no prior knowledge of birational geometry.
This is joint work with Joerg Winkelmann. Pizza Seminar
Pizza Seminar Speaker: Stefan Tohaneanu (Western) "Coding theory and a problem in plane geometry" Time: 16:30 Room: MC 107 I will introduce the basic concepts and results in coding theory and I will explain how these can help determine the maximum number of collinear points from a finite set of points in the plane given by their coordinates. |
25 Noncommutative Geometry
Noncommutative Geometry Speaker: Ali Fathi (Western) "Geometry of Quantum Heisenberg Manifolds" Time: 14:30 Room: MC 107 Quantum Heisenberg Manifolds were first defined by M. Rieffel in 1989 as example of quantization of Heisenberg Manifolds along a Poisson bracket.(A typical Heisenberg Manifold is the quotient of Heisenberg group by a uniform lattice).They are interesting for several reasons, one being just because they are tractable examples of noncommutative manifolds.This means that , like the related but simpler noncommutative tori, Q-Heisenberg manifolds provide a nice setting in which to explore noncommutative geometry. In these series of talks I will explore the different features of the noncommutative geometry on Q-Heisenberg manifolds. We introduce a class of spectral triples on Q-Heisenberg manifold, we introduce the space of L^2 -forms and then we characterize torsion less/Unitary connections. In addition, for a concrete family of unitary connections we compute Ricci curvature and scalar curvature. |
26 |
27 Algebra Seminar
Algebra Seminar Speaker: German Combariza (Western) "A few conjectures about multiple zeta values" Time: 14:40 Room: MC 107 Multiple zeta values (MZV) are the numbers defined by the
convergent series of the form ζ(s1,s2,...,sk)=∞∑n1>n2>...>nk>0{1/(ns11>...nskk)} for si positive integers. For these real numbers there are some beautiful relations, some of them due to Euler, like ζ(2,1)=ζ(3) or ζ(2n)=qπ2n for q a rational number. In this lecture I will present some of the most famous conjectures about MZV and its relations. I will show how we try to see the truthfulness of this conjecture by looking at them until a small
degree bounded by the capacity of the actual computers. |
28 |