The Mathematics Calendar
http://www.math.psu.edu/seminars/calendar.php
Seminars and special events the Pennsylvania State University Mathematics Department2015-03-04webmaster@math.psu.edu“Studies on the weak convergence of partial sums in Gibbs-Markov dynamical systems”
http://www.math.psu.edu/seminars/meeting.php?id=27462
Speaker(s): Xuan Zhang, Adviser: Manfred Denker
We investigates distributional limit theorems of partial sums of the form $f_{n,1}+f_{n,2}\circ T_n+\cdots+f_{n,n}\circ T_n^{n-1}$ for Gibbs-Markov dynamical systems $(X_n, \mathscr B_n, T_n,\mu_n,\alpha_n)$ and an array of functions $f_{n,m}: X_n\to \mathbb R$ of certain classes. We show a Central Limit Theorem (CLT) for this array, a CLT of Lindeberg type (with uniformly bounded functions) and we also investigate the Poisson limit case. We relate the Poisson limit theorem to escape rates of sweep-out sets and the CLT is applied in various situations, in particular to some statistical functions.2015-03-05T08:30:00Ph.D. Thesis Defensehalpenny@math.psu.eduZeros of Dirichlet series
http://www.math.psu.edu/seminars/meeting.php?id=24847
Speaker(s): Robert Vaughan
We are concerned here with Dirichlet series
f(s) = 1 +\sum_{n=2}^{\infty} \frac{c(n)}{n^s}
which satisfy a function equation similar to that of the Riemann zeta function, typically of the form
f(s) = \epsilon 2^s q^{1/2-s} \pi^{s-1} \Gamma(1-s) \big(\sin\textstyle\frac{\pi}{2}(s+\kappa)\big) f(1-s),
but for which the Riemann hypothesis is false.2015-03-05T11:15:00Algebra and Number Theory Seminarrvaughan@math.psu.edupapikian@math.psu.eduyee@math.psu.edueisentra@math.psu.edu" A Complete Set of Invariants for Density Operators Under Local Conjugation"
http://www.math.psu.edu/seminars/meeting.php?id=27419
Speaker(s): Jacob Turner, Adviser: Jason Morton
A density operator of is a trace one, positive semi-definite matrix in the tensor product of the spaces End (V_i) for i=1,...,n. These are used in physics to represent a quantum system of n particles, the ith of which has dim (V_i) spins. One of the most important questions about a density operator is the entanglement of the state it represents. Almost every notion of entanglement is invariant under conjuagation by the affine cone over the Segre product of the unitary groups over each V_i. Using techniques from algebraic geometry and representation theory, we determine a finite set of invariant polynomials that completely seperate orbits of density operators.2015-03-05T12:30:00Ph.D. Thesis Defensehalpenny@math.psu.eduIntermediate C*-norms
http://www.math.psu.edu/seminars/meeting.php?id=25489
Speaker(s): Matthew Wiersma
It is known that C*-algebras admit unique C*-norms, but this is not true in general for dense *-subalgebras of C*-algebras. For example, if G is a discrete group, then its group ring algebra may admit more than one C*-norm. Similarly, the algebraic tensor product of two C*-algebras may admit multiple C*-norms. Each of these examples admits two canonical C*-norms. During this talk, we will investigate C*-norms which fall between these canonical constructions.2015-03-05T14:30:00Noncommutative Geometry Seminarhigson@math.psu.edusaz11@math.psu.eduTechniques and concepts of amenability of discrete groups
http://www.math.psu.edu/seminars/meeting.php?id=24924
Speaker(s): Kate Juschenko (Nate Brown)
The subject of amenability essentially begins in 1900's with Lebesgue.
He asked whether the properties of his integral are really fundamental
and follow from more familiar integral axioms. This led to the study of
positive, finitely additive and translation invariant measure on
different spaces. In particular the study of isometry-invariant measure
led to the Banach-Tarski decomposition theorem in 1924. The class of
amenable groups was introduced and studied by von Neumann in 1929 and
he explained why the paradox appeared only in dimensions greater or
equal to three. In 1940's and 1950's a major contribution was made by M.
Day in his paper on amenable semigroups. We will give an introductory to
amenability talk, and explain more recent developments in this field.2015-03-05T15:30:00Department of Mathematics Colloquiumsaz11@math.psu.eduliu@math.psu.eduTBA
http://www.math.psu.edu/seminars/meeting.php?id=27454
Speaker(s): Atendees
2015-03-10T12:20:00Teaching Mathematics Discussion Group Seminarzach@math.psu.eduzelenberg@math.psu.eduSpring break
http://www.math.psu.edu/seminars/meeting.php?id=24752
Speaker(s): Spring break
2015-03-10T14:30:00GAP Seminarping@math.psu.edustienon@math.psu.eduhigson@math.psu.eduroyer@math.psu.edu