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seminars:alge

Evariste Galois Emmy Noether

The Algebra Seminar

The seminar will meet in-person on Tuesdays in room WH-100E at 2:50 p.m. There should be refreshments served at 4:00 in room WH-102. Masks are optional.

Anyone wishing to give a talk in the Algebra Seminar this semester is requested to contact the organizers at least one week ahead of time, to provide a title and abstract. If a speaker prefers to give a zoom talk, the organizers will need to be notified at least one week ahead of time, and a link will be posted on this page.

If needed, the following link would be used for a zoom meeting (Meeting ID: 93487611842) of the Algebra Seminar:

Algebra Seminar Zoom Meeting Link

Organizers: Alex Feingold, Daniel Studenmund and Hung Tong-Viet

To receive announcements of seminar talks by email, please join the seminar's mailing list.


Spring 2024

  • January 16
    No Meeting
  • January 23
    Organizational Meeting

    Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker.

  • January 30
    Dikran Karagueuzian (Binghamton University)
    You Were Always Studying Cohomology

    Abstract: We will discuss the observation that carrying, as taught in grade-school arithmetic, is a cohomology class. This observation is something of a folk theorem. It was surely known to Eilenberg and MacLane, but the earliest written record I can find is an internet post from the 90s by Dolan.

  • February 6
    Daniel Studenmund (Binghamton University)
    Finite generation of lattices and Kazhdan's Property (T)

    Abstract: Lattices in semisimple Lie groups form an important and rich class of finitely generated infinite groups. But it is not immediately obvious from their definition that lattices are finitely generated. This was first proved for a large class of lattices by Kazhdan using a property now known as (T). In this expository talk I will introduce the definition of Property (T) and discuss its relationship to amenability and finite generation.

  • February 13
    Hung Tong-Viet (Binghamton University)
    Conditional characterization of solvability and nilpotency of finite groups

    Abstract: As a consequence of the classification of nonsolvable $N$-groups, Thompson proved in $1968$ that a finite group $G$ is solvable if and only if every two-generated subgroup of $G$ is solvable. Various extensions of this theorem have been obtained over the years. In this talk, I will survey some of these results and discuss new characterizations of finite solvable and nilpotent groups using certain restriction on the two-generated subgroups. I will end the talk with applications to the solvable conjugacy class graph of groups.

  • February 20
    No Meeting
  • February 27
    No Meeting
  • March 5
    No Algebra Seminar - Spring Break
  • March 12
    Inna Sysoeva (Binghamton University)
    Irreducible $n-$dimensional representations of the group of conjugating automorphisms of a free group on $n$ generators

    Abstract: Let $F_n$ be the free group on $n$ generators $x_1, \dots ,x_n.$ The group of conjugating automorphisms $C_n$ is a subgroup of $Aut(F_n)$ consisting of those automorphisms which map every free group generator $x_i$ into a word of the form $W_i^{-1}( x_1 , \dots x_n)x_{\pi(i)} W_i( x_1 , \dots x_n),$ where $W_i( x_1 , \dots x_n)\in F_n$ and $\pi$ is some permutation of indices, $\pi\in S_n.$ The subgroup of $C_n$ that preserves the product $x_1\dots x_n$ is isomorphic to the braid group on $n$ strings, $B_n.$

    In this talk I am going to describe my new results on the extensions of the irreducible $n-$dimensional representations of the braid group $B_n$ to the group of conjugating automorphisms $C_n$ of a free group $F_n.$ I will cover all relevant background material on the above-mentioned groups and their representations, so no previous knowledge of the subject is expected.

  • March 19
    No Meeting
  • March 26
    No Meeting
  • April 2
    Omar Saldarriaga (Highpoint University) presented on Zoom
    The Lie algebra of the transformation group of certain affine homogeneous manifolds

    Abstract: In this talk we will show that, under certain algebraic conditions, a bi-invariant linear connection $\nabla^+$ on a Lie group $G$ induces an invariant linear connection $\nabla$ on a homogeneous space $G/H$ so that the projection $\pi:G\to G/H$ is an affine map. We will also show that if the subgroup $H$ is discrete, there is a method to compute the Lie algebra of the group of affine transformations of $G/H$ preserving the connection $\nabla$. As an application, we will exhibit the Lie algebra of the group of affine transformations of the orientable flat affine surfaces.

  • April 9
    Luna Elliott (Binghamton University)
    How semigroup people think about (inverse) semigroups

    Abstract: I will give a beginner friendly introduction to semigroups, inverse semigroups and the concepts which are well-known and heavily used by people in these areas. These include green's relations free objects, wagner-preston and special subclasses of these objects. I'm very open to going on tangents if people want me to talk more about anything in particular.

  • April 16
    Rachel Skipper (University of Utah)
    Title

    Abstract: Text of Abstract

  • April 23
    No Algebra Seminar - Passover Break
  • April 30
    Andrew Velasquez-Berroteran ( University)
    Title

    Abstract: Text of Abstract

  • May 7
    No Algebra Seminar - Finals Week


seminars/alge.txt · Last modified: 2024/04/09 00:45 by daniel