This Week in Mathematics

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Current Week [Apr 21, 2019 - Apr 27, 2019]
Analysis & PDE
Time: 2:30-3:30 Room: 104 LOV

PhD Candidacy Exam
Persistent Homology
    - Soheil Anbouhi, FSU
Time: 2:00 pm Room: 204-B LOV

Entries for this week: 10
Monday April 22, 2019

Analysis & PDE
Time: 2:30-3:30 Room: 104 LOV

PhD Candidacy Exam
Persistent Homology
    - Soheil Anbouhi, FSU
Time: 2:00 pm Room: 204-B LOV

Tuesday April 23, 2019

Topology and Geometry Seminar [url]
Anosov flows and contact surgery
    - Daniel Hartman, FSU
Time: 3:35p Room: 201
Abstract/Desc: Until a few years ago, the only know examples of contact Anosov flows were geodesic flows of Riemannian manifolds. In 2013, Patrick Foulon and Boris Hasselblatt gave a surgery method which, when performed along an E-transverse link, results in a new contact Anosov flow. This surgery method subsumes the Handel-Thurston and Goodman surgeries. The goal of the talk will be to outline the surgery

Wednesday April 24, 2019

Departmental Tea Time
C is for cookie, and shorthand for C[0,1] w/the sup norm
Time: 3: Room: 204 LOV

Biomathematics Seminar
    - Carolyn Eady, FSU
Time: 3:35 pm Room: LOV 200

Biomathematics Journal Club
The White Rat of Numerical Reproducibility
    - Michael Mascagni,
Time: 5:00 Room: Dirac Library

Thursday April 25, 2019

Financial Mathematics Seminar
    - Austin Eovito,
Time: 3:35pm Room: Lov 201
Abstract/Desc: In this seminar, we present the paper by Miers et al. (2013). Bitcoin is the first e-cash system to see widespread adoption. While Bitcoin offers the potential for new types of financial interaction, it has significant limitations regarding privacy. Specifically, because the Bitcoin transaction log is completely public, users' privacy is protected only through the use of pseudonyms. In this paper we propose Zerocoin, a crypto-graphic extension to Bitcoin that augments the protocol to allow for fully anonymous currency transactions. Our system uses standard cryptographic assumptions and does not introduce new trusted parties or otherwise change the security model of Bitcoin. We detail Zerocoin's cryptographic construction, its integration into Bitcoin, and examine its performance both in terms of computation and impact on the Bitcoin protocol.

Algebra and Its Applications
Algorithms for Factoring Difference Operators II
    - Yi Zhou, FSU
Time: 3:35 PM Room: LOV 104
Abstract/Desc: In this talk the algorithm for bounding x-degrees of right-hand factors will be introduced. I will focus on the notion of generalized exponents, which plays a crucial role in the algorithm. Generalized exponents characterize the local behavior of difference operators at infinity.

Friday April 26, 2019

Colloquium Tea
Time: 3:00 pm Room: 204 LOV

Mathematics Colloquium [url]
A weak Galerkin method for linear elasticity
    - Son-Young Yi, UT El Paso
Time: 3:35 pm Room: LOV 101
More Information
Abstract/Desc: In this talk, I will discuss weak Galerkin (WG) methods for solving partial differential equations, with particular attention to the equations of linear elasticity. WG method is a newly developed numerical technique for solving PDEs where classical differential operators are replaced by discrete weak differential operators in the variational form of the underlying PDE problem. It is well known that standard continuous Galerkin methods, such as continuous piecewise linear or bilinear elements, yield poor approximations to the displacement as the material becomes incompressible or equivalently, the Lame constant tends to infinity. This phenomenon is known as ``Poisson locking'' and overcoming locking has been the subject of extensive research over several decades. I will propose a locking-free and lowest-order WG method for the equations of linear elasticity based on the displacement formulation. Unlike other previously proposed WG methods for linear elasticity, the new method does not require a stabilization term for the existence or uniqueness of the solution. I will present a-priori error estimates of optimal order in the discrete H1 and L2 norms for the displacement when the solution is smooth. They are independent of the Lame constant, therefore the performance of the new method does not deteriorate as the material becomes incompressible. Finally, I will present some numerical results to confirm the optimal order error estimates and also to show the locking-free nature of the new method.

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