### Seminars for Pure Mathematics

**Fall 2018**

Nov 19 |

Analysis & PDE |

Time: 2:30-3:30 |

Location: 104 LOV |

Nov 15 |

Michael Niemeier (Florida State University) |

Central Extensions of Simplicial Groups, II |

Algebra |

Time: 3:35 |

Location: LOV104 |

We will begin by discussing some background needed for simplicial groups and simplicial groupoids. We will then show that there is a correspondence between central extensions of simplicial groups A-->... More |

Nov 13 |

Anindya Chanda (FSU) |

Gromov Boundary of Hyperbolic Groups |

Geometry and Topology Seminar |

Time: 3:35p |

Location: LOV 201 |

Geometric Group Theory is one of the most explored topic in Mathematics for last few decades. In this topic we mostly try to find connections between abstract algebraic properties of groups and geome... More |

Nov 8 |

Michael Niemeier (Florida State University) |

Central Extensions of Simplicial Groups |

Algebra |

Time: 3:35 |

Location: 104 LOV |

We will begin by discussing some background needed for simplicial groups and simplicial groupoids. We will then show that there is a correspondence between central extensions of simplicial groups A-->... More |

Nov 7 |

Ben Prather |

TBA |

Algebras and Analysis |

Time: 3:35 |

Location: 201 love |

Nov 1 |

Tyler Foster (Florida State University) |

The work of Katz, Rabinoff, and Zureick-Brown on rational point counts in algebraic curves, III |

Algebra |

Time: 3:35 |

Location: 104 LOV |

I plan to talk about relatively recent work of E. Katz, J. Rabinoff, and D. Zureick-Brown. These three authors established a uniform bound on the number of rational points in smooth projective algebra... More |

Oct 31 |

Y. Almalki |

Field extensions and valuation rings II |

Algebras and analysis |

Time: 3;35 |

Location: 201 love |

Oct 30 |

John Bergschneider (FSU) |

2-Stratifolds |

Geometry and Topology Seminar |

Time: 3:35p |

Location: 201 |

2-Stratifolds are a generalization of surfaces where there is a family of disjoint simple closed curves where several sheets meet. They are able to be represented as bipartite graphs from which... More |

Oct 26 |

Osman Okutan (Ohio State) |

Metric Graph Approximations of Geodesic Spaces |

Topology and Geometry Seminar |

Time: 1:25 |

Location: 201 |

A standard result in metric geometry is that every compact geodesic metric space can be approximated arbitrarily well by finite metric graphs in the Gromov-Hausdorff sense. It is well known that the f... More |

Oct 25 |

Shayea Aldossari (Florida State University) |

Methods for Simplifying Differential Equations |

Algebra |

Time: 3:35 |

Location: LOV104 |

Oct 24 |

Y. Almalki |

Field extensions, valuation rings and Riemann surfaces I |

algebras and analysis |

Time: 3:35 |

Location: 102 love |

Oct 23 |

Thanittha Kowan (FSU) |

Average Kissing Numbers For Non-Congruent Sphere Packings |

Topology and Geometry Seminar |

Time: 3:35 |

Location: 201 |

I will introduce a definition of kissing numbers of a sphere packings in 3-dimensional real space. We will talk about Greg Kuperberg and Oded Schramnâ€™s Theorem showing that the average number... More |

Oct 18 |

Lydia Eldredge (Florida State University) |

Mahler Measure and Lehmer's question |

Algebra |

Time: 3:35 |

Location: LOV104 |

For a monic polynomial in Z[x], the Mahler measure is the product, taken over all roots r, of max{1,|r|}. In some sense, this measures how far a polynomial is from being cyclotomic. We know, from Kro... More |

Oct 17 |

Y. Almalki |

Riemann surfaces - A comparison of definitions |

Algebra and Analysis |

Time: 3:35 |

Location: 201 love |

Oct 10 |

Y. Almalki |

Riemann surfaces : an algebraic view |

Algebras and Analysis |

Time: 3:35 |

Location: 201 Love |

Oct 9 |

Ettore Aldrovandi (FSU) |

Homotopy theoretic aspects of central extensions |

Topology and Geometry Seminar |

Time: 3:35p |

Location: 201 |

The classification of central extensions of a group $G$ by a (necessarily abelian) group $A$ is very well understood from both the Algebra and Geometry viewpoints. Indeed, one of the mos... More |

Oct 4 |

Tyler Foster (Florida State University) |

The work of Katz, Rabinoff, and Zureick-Brown on rational point counts in algebraic curves, II |

Algebra |

Time: 3:35 |

Location: LOV104 |

I plan to talk about relatively recent work of E. Katz, J. Rabinoff, and D. Zureick-Brown. These three authors established a uniform bound on the number of rational points in smooth projective algebra... More |

Oct 3 |

Craig A.Nolder |

Gelfand-Naimark Theorem |

Algebras and Analysis |

Time: 3:35 |

Location: 201 Love |

Sep 27 |

Grayson Jorgenson (Florida State University) |

Equivariant intersection theory and the Segre zeta function, II |

Algebra |

Time: 3:35 |

Location: LOV104 |

We will discuss the idea of the Segre zeta function which in the case of closed subschemes of projective spaces explains how Segre classes behave under the operation of taking cones. Following this, w... More |

Sep 26 |

Craig A. Nolder |

C*-algebras and the Gelfand-Naimark Theorem |

Algebras and Analysis |

Time: 3:35 |

Location: 201 love |

We begin our study of noncommutative geometry by roughly following the book, Basic Noncommutative Geometry, M. Khalkhali. |

Sep 25 |

Alex White (FSU) |

Central Strips of Sibling Leaves in Laminations of the Unit Disk |

Topology and Geometry Seminar |

Time: 3:35 |

Location: 201 |

Quadratic laminations of the unit disk were introduced by Thurston as a vehicle for understanding the Julia sets of quadratic polynomials and the parameter space of quadratic polynomials. The Central ... More |

Sep 20 |

Tyler Foster (Florida State University) |

The work of Katz, Rabinoff, and Zureick-Brown on rational point counts in algebraic curves |

Algebra |

Time: 3:35 |

Location: LOV104 |

I plan to talk about relatively recent work of E. Katz, J. Rabinoff, and D. Zureick-Brown. These three authors established a uniform bound on the number of rational points in smooth projective algebra... More |

Sep 18 |

Alex White (FSU) |

Central Strips of Sibling Leaves in Laminations of the Unit Disk |

Topology and Geometry Seminar |

Time: 3:35 |

Location: 201 |

Quadratic laminations of the unit disk were introduced by Thurston as a vehicle for understanding the Julia sets of quadratic polynomials and the parameter space of quadratic polynomials. The Central ... More |

Sep 17 |

Alexander Reznikov |

Sparce domination of singular integrals |

Analysis & PDE |

Time: 2:30-3:30 |

Location: 104 LOV |

We will make the first step towards understanding the recent article on Matrix Weighted Estimates for singular integral operator. We will begin by presenting the classical sparc... More |

Sep 13 |

Grayson Jorgenson (FSU) |

Equivariant intersection theory and the Segre zeta function |

Algebra |

Time: 3:35 |

Location: LOV104 |

We will discuss the idea of the Segre zeta function which in the case of closed subschemes of projective spaces explains how Segre classes behave under the operation of taking cones. Following this, w... More |

Sep 11 |

Sam Ballas (FSU) |

Geometric Structures via Flags |

Topology and Geometry Seminar |

Time: 3:35 |

Location: 201 |

Roughly speaking a geometric structure is a recipe for gluing together pieces of a geometric space using geometry preserving maps to build a manifold with interesting topology. Some classical examples... More |

Sep 6 |

Paolo Aluffi (Florida State University) |

Chern classes of embeddable schemes |

Algebra seminar |

Time: 3:35 |

Location: 104 LOV |

We prove a formula computing the Chern-Schwartz-MacPherson (CSM) class of an arbitrary subscheme of a nonsingular variety in terms of the Segre class of an associated scheme. This formula generalizes ... More |

Sep 4 |

Ben Prather (FSU) |

The Symmetry of the Octonions |

Topology and Geometry Seminar |

Time: 3:35p |

Location: 201 |

The octonions are noted for there exceptional symmetry. This can be expressed by examining the size of automorphism group relative to other algebras of a similar size. In particular, the automorphism ... More |

Sep 3 |

Analysis&PDE (moved to next week) |

Analysis and PDE |

Time: 2:30 |

No location for this even specified. |

We will choose a topic to discuss first. |