The Mathematics Calendar
http://www.math.psu.edu/seminars/calendar.php
Seminars and special events the Pennsylvania State University Mathematics Department2015-04-25webmaster@math.psu.eduInverse Obstacle Scattering
http://www.math.psu.edu/seminars/meeting.php?id=26491
Speaker(s): Rainer Kress
This talk serves as an introduction to the afternoon's CAM Colloquium.2015-04-27T12:20:00CCMA Luncheon Seminarmsm37@math.psu.edushaffer@math.psu.eduliu@math.psu.edu"Hyperelliptic Jacobians and their associated \ell-adic Galois representations"
http://www.math.psu.edu/seminars/meeting.php?id=28026
Speaker(s): Jeff Yelton, Adviser: Yuri Zarhin
Let k be a subfield of the complex numbers, and let K be the extension of k obtained by adjoining the symmetric functions of the independent transcendental elements \alpha_{1}, \alpha_{2}, ... , \alpha_{d} for some d at least 3. We are interested in action of the absolute Galois group of K on the \ell-adic Tate modules of the Jacobian J of the "generic" degree-d hyperelliptic curve C whose Weierstrass roots are the \alpha_{i}'s, in particular when \ell = 2. I will begin by describing of the image of the absolute Galois group under the induced \ell-adic representation, as well as the main topological argument used to prove this result. It will be shown how this method can further be used to derive generators for the field extensions over which the points in certain torsion 2-subgroups are defined. I will also describe how to use sequences of isogenies to give a full desription of the infinite algebraic extension of K generated by the coordinates of all 2-power torsion points of J when when the genus is 1 or 2.2015-04-27T12:30:00Ph.D. Thesis Defensehalpenny@math.psu.eduInverse Obstacle Scattering
http://www.math.psu.edu/seminars/meeting.php?id=25555
Speaker(s): Rainer Kress
We consider the inverse problem to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic acoustic or electromagnetic waves, i.e., an inverse boundary value problem for the Helmholtz and Maxwell equations. For the sake of simplicity, we will concentrate on the case of scattering from a sound-soft obstacle or a perfect conductor. We will review some basics on uniqueness and ill-posedness for this inverse problem and discuss some more recently developed reconstruction algorithms with an emphasis on iterative methods. The luncheon seminar will include a short survey on the corresponding direct scattering problem. For a flavour of the topic see D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 3rd ed., Springer, New York, 2013. 12015-04-27T14:30:00Computational and Applied Mathematics Colloquiummsm37@math.psu.edushaffer@math.psu.eduliu@math.psu.edufuw7@math.psu.eduPrimes, elliptic curves and cyclic groups II
http://www.math.psu.edu/seminars/meeting.php?id=27953
Speaker(s): A. C. Cojocaru
For a prime p, the group of units of the finite field F_p with p elements is always cyclic. What can be said about the group of points of an elliptic curve defined over F_p? We will explore such questions about primes in the context of reductions of an elliptic curve defined over a global field. The techniques used will span a vast spectrum, from arithmetic geometry to algebraic number theory to analytic number theory.2015-04-27T16:40:00Special Eventsaz11@math.psu.edupapikian@math.psu.eduTBA
http://www.math.psu.edu/seminars/meeting.php?id=27461
Speaker(s): Atendees
2015-04-28T12:20:00Teaching Mathematics Discussion Group Seminarzach@math.psu.eduzelenberg@math.psu.eduStochastic modeling and inference of gene networks
http://www.math.psu.edu/seminars/meeting.php?id=24705
Speaker(s): Abhyudai Singh
Many protein and mRNA species occur at low molecular counts within cells, and hence are subject to large
stochastic fluctuations in copy numbers over time. Development of computationally tractable frameworks for modeling
stochastic fluctuations in population counts is essential to understand how noise at the cellular level affects biological
function and phenotype. I will introduce state-of-art analytical and computational tools for stochastic modeling, analysis
and parameter identification of nonlinear subcellular biological networks. In collaboration with experimental researchers,
these tools are used to study stochasticity in the lysis timing of individual E. coli. cells infected by the bacterial
virus, phage lambda. Our study reveals regulatory mechanisms essential for buffering randomness in the timing of lysis, and
these results have important implications for other biological processes such as cell-cycle control and development.2015-04-28T13:00:00Theoretical Biology Seminartreluga@math.psu.educpc16@math.psu.eduTBA
http://www.math.psu.edu/seminars/meeting.php?id=24766
Speaker(s): Stephane Korvers
2015-04-28T14:30:00GAP Seminarping@math.psu.edustienon@math.psu.eduhigson@math.psu.eduroyer@math.psu.eduQuasi-random Graphs
http://www.math.psu.edu/seminars/meeting.php?id=24914
Speaker(s): Jake Pardo
In the quest to extend ideas of randomness to graph structures, Quasi-random graph sequences are perhaps the most natural notion to consider. There are several equivalent statements which define quasi-randomness: I will demonstrate the equivalence of several of these statements as well as mention some noteworthy results based on the original paper on quasi-randomness of Chung, Graham, and Wilson.2015-04-28T14:30:00Logic Seminarjmr71@math.psu.edusimpson@math.psu.edureimann@math.psu.eduPrimes, elliptic curves and cyclic groups III
http://www.math.psu.edu/seminars/meeting.php?id=27987
Speaker(s): A.C. Cojocaru
For a prime p, the group of units of the finite field F_p with p elements is always cyclic. What can be said about the group of points of an elliptic curve defined over F_p? We will explore such questions about primes in the context of reductions of an elliptic curve defined over a global field. The techniques used will span a vast spectrum, from arithmetic geometry to algebraic number theory to analytic number theory.2015-04-29T16:40:00Special Eventsaz11@math.psu.edupapikian@math.psu.eduProducts of Farey fractions
http://www.math.psu.edu/seminars/meeting.php?id=24855
Speaker(s): Jeff Lagarias
Let F_n denote the product of all nonzero Farey fractions of order n and let G_n denote the product of all reduced and unreduced Farey fractions of order n. It is known that the reciprocal of G_n is the product of binomial coefficients on the n-th row of Pascal's triangle. We present results on the growth rate of log F_n and of log G_n, and on the behavior of the p-adic norms of F_n and G_n. The p-adic behavior of G_n is related to the Riemann zeta function on the line Re(s)=0. We present experimental results suggesting that F_n is related to behavior of the Riemann zeta function on another line. (This is joint work with Harsh Mehta (U. South Carolina).)2015-04-30T11:15:00Algebra and Number Theory Seminarrvaughan@math.psu.edupapikian@math.psu.eduyee@math.psu.edueisentra@math.psu.eduSingular foliations and their C* algebras: calculations. 3.
http://www.math.psu.edu/seminars/meeting.php?id=25497
Speaker(s): Iakovos Androulidakis
Singular foliations are examples of dynamical systems. They are abundant in many branches of mathematics, for instance control theory and Poisson geometry. In fact singular foliations appear much more often than regular ones. In this series of talks we discuss how to deal with the leaf space of such foliations, including calculations of various examples. Information about this space is encapsulated in the holonomy groupoid of the foliation and the associated C*-algebra. A tentative program for these lectures is: (1) singular foliations and bisubmersions, with examples (foliation by the flow of a single vector field, by orbits of the SO(3) action, by orbits of the action of SL(2,R)), (b) calculation of the holonomy groupoid for the above examples, (c) construction of the foliation C*-algebra, and (d) K-theory calculation for the above examples (the right-hand side of the Baum-Connes assembly map).2015-04-30T14:30:00Noncommutative Geometry Seminarhigson@math.psu.edusaz11@math.psu.eduQuasi-invertibility
http://www.math.psu.edu/seminars/meeting.php?id=24932
Speaker(s): Ezra Getzler (Host: Ping Xu)
In the theory of differential graded algebras (important in the study of moduli problems in geometry, for example), the correct generalization of invertibility is invertibility up to a boundary, or quasi-invertibility. In this talk, we will explain in what sense the quasi-invertible elements form a "Lie group". In fact, they form a generalization of a group called a higher Lie groupoid.2015-04-30T15:30:00Department of Mathematics Colloquiumsaz11@math.psu.eduliu@math.psu.eduTBA
http://www.math.psu.edu/seminars/meeting.php?id=24893
Speaker(s): Xuan Zhang
2015-05-01T15:35:00Probability and Financial Mathematics Seminardenker@math.psu.eduanovikov@math.psu.edumazzucat@math.psu.eduroyer@math.psu.edunistor@math.psu.edu