### Seminars for Pure Mathematics

Aug 29 2023 |

Organizational Meeting |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0105 |

Sep 5 2023 |

Organizational Meeting |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0105 |

Sep 12 2023 |

Sam Ballas (FSU) |

Frame theory on vector bundles |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0105 |

Vector valued information can be transmitted by describing the coordinates of vectors in a fixed basis, however this method of transmission is not very robust since corruption of a single coordinate c... More |

Sep 14 2023 |

Ettore Aldrovandi (FSU) |

Determinant functors and rings up to homotopy |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Determinant functors map a category with a notion of exact sequence to the 1-type of its K-Theory, in such a way that the exact sequence in the former corresponds to the tensor p... More |

Sep 19 2023 |

Sam Ballas (FSU) |

Frame theory on vector bundles |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0231 |

Vector valued information can be transmitted by describing the coordinates of vectors in a fixed basis, however this method of transmission is not very robust since corruption of a single coordinate c... More |

Sep 21 2023 |

Ettore Aldrovandi (FSU) |

Determinant functors and rings up to homotopy II |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Determinant functors map a category with a notion of exact sequence to the 1-type of its K-Theory, in such a way that the exact sequence in the former corresponds to the tensor p... More |

Sep 26 2023 |

Brandon Doherty (FSU) |

Cubical models of higher categories without connections |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0231 |

We will discuss the cubical Joyal model structures on the categories of cubical sets both with and without connections, by which cubical sets model the theory of (infinity,1)-categories, and the proof... More |

Sep 28 2023 |

Jaydeep Chipalkatti (University of Manitoba) |

Enumerative Geometry of Pascal’s Theorem |

Algebra seminar |

Time: 3:05pm |

Location: Zoom or 106 |

Given six points A, B, C, D, E, F on a nonsingular conic in the complex projective plane, Pascal’s theorem says that the three intersection points AE∩BF, BD∩CE, AD∩CF are collinear. The line c... More |

Oct 3 2023 |

Brandon Doherty (FSU) |

Cubical models of higher categories without connections. Part II |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0231 |

We will discuss the cubical Joyal model structures on the categories of cubical sets both with and without connections, by which cubical sets model the theory of (infinity,1)-categories, and the proof... More |

Oct 5 2023 |

Oishee Banerjee (FSU) |

Geometric Manin’s conjecture for toric varieties |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Manin’s conjecture is about the asymptotics of the number of points on a (Fano) variety of a bounded height over a global field. In this we talk we focus on (a) when the variety is a (complete, simp... More |

Oct 10 2023 |

Mario Gómez Flores (FSU) |

Curvature sets: the spaces of distance matrices of subsets of S^1 |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0231 |

For $n \geq 2$, the $n$-th curvature set $K_n(X)$ of a metric space $X$ is the set of all $n$-by-$n$ distance matrices of points sampled from $X$. We study the topological and geometric structures of ... More |

Oct 12 2023 |

Matthew Winters (FSU) |

Reducibility and rational torsion in elliptic curves |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Let A be an optimal semistable elliptic curve over the rational numbers and r be a prime such that A has good reduction at r. In a previous talk, we indicated how to show that if r is greater than thr... More |

Oct 17 2023 |

Pierre-Louis Blayac (University of Michigan) |

Divisible convex sets with properly embedded cones |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 0231 |

A divisible convex set is a convex, bounded, and open subset of an affine chart of the real projective space, on which acts cocompactly a discrete group of projective transformations. These objects ha... More |

Oct 19 2023 |

Amod Agashe (FSU) |

Background on modular forms and elliptic curves |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

We will give some background on modular forms and elliptic curves that is relevant to Matthew Winters's talks. In particular, we will talk about modular curves, their Jacobians, etc., and time permitt... More |

Oct 24 2023 |

Ronno Das (Stockholm University) |

Hypersurfaces and inclusion-exclusion |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: Zoom |

A generic homogeneous polynomial defines a smooth hypersurface in projective space. Generalizing results of Tommasi and others, we establish homological stability for the space of such smooth polynomi... More |

Oct 26 2023 |

Matthew Winters (FSU) |

Reducibility and rational torsion in elliptic curves II |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

This is the second and last part of a series with the following abstract: Let A be an optimal semistable elliptic curve over the rational numbers and r be a prime such that A has good reduction at r. ... More |

Oct 31 2023 |

Florian Stecker (FSU) |

Spherical homogeneous spaces and Anosov representations acting on them |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: Zoom |

We'll look at the double quotient B\G/H, where G is a semisimple Lie group, B a minimal parabolic subgroup, and H any closed subgroup which makes the double quotient finite. Then consider certain disc... More |

Nov 2 2023 |

Carlos di Fiore (University of Buenos Aires) |

A short story on cohomological operations, cotangent bundles and non-commutative geometry |

Algebra seminar |

Time: 3:05pm |

Location: Zoom or 106 Love |

In this talk we will give non-commutative generalizations of some classical facts about cohomological operations on the derived category of a hypersurface: finite generations of Ext groups, nilpotent ... More |

Nov 7 2023 |

Jonathan DeWitt (University of Maryland) |

Periodic data rigidity of Anosov diffeomorphisms |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 231 |

Anosov diffeomorphisms are a class of dynamical systems that exhibit strong chaotic behavior. Every known Anosov diffeomorphism is topologically conjugate to a linear Anosov diffeomorphism, called an ... More |

Nov 9 2023 |

Jeremy Usatine (FSU) |

Motivic integration for Artin stacks |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

A standard method for studying a singular variety is to resolve it by a smooth variety and to then relate invariants of the singular variety to invariants of the smooth one. Motivic integration provid... More |

Nov 14 2023 |

Jared Miller (FSU) |

Exploring Infinite Type Surfaces |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 231 |

A surface is said to be of finite type if its fundamental group is finitely generated; otherwise we say it is of infinite type. Infinite type surfaces are, in a sense, much more mysterious than finite... More |

Nov 16 2023 |

Sam Payne (University of Texas at Austin) |

Motivic structures in the cohomology of moduli spaces of curves |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Cohomology groups of moduli spaces of algebraic curves consist of characteristic classes for surface bundles and appear in many disparate areas of mathematics, from low-dimensional topology to algebra... More |

Nov 30 2023 |

Amod Agashe (FSU) |

Background on modular forms and Hecke operators |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

In this expository lecture, we will recall the definition of modular forms, go over some properties of L-functions (e.g., analytic continuation), define Hecke operators, and use them in some construct... More |

Dec 5 2023 |

Homin Lee (Northwestern) |

Smooth actions on manifold by higher rank lattices |

Topology/Geometry Seminar |

Time: 3:05 PM |

Location: LOV 231 |

We will discuss about smooth actions on manifolds by higher rank groups, such as lattices in SL(n,R) with n ≥ 3 or Z^k with k ≥ 2. The higher rank property of the acting group sugge... More |

Dec 7 2023 |

Milind Gunjal (FSU) |

Group Cohomology with Values in a Picard Category |

Algebra seminar |

Time: 3:05pm |

Location: 106 |

Dec 8 2023 |

Arash Karimi (FSU) |

Algebraic theories in infinity categories |

Candidacy Exam |

Time: 11am |

Location: LOV 305 |