User Tools

Site Tools


seminars:alge

Evariste Galois Emmy Noether

The Algebra Seminar

Unless stated otherwise, the seminar meets Tuesdays in room WH-100E at 2:50 p.m. There will be refreshments served at 4:00 in room WH-102.

Organizers: Alex Feingold and Hung Tong-Viet

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


Fall 2019

  • August 27
    Organizational meeting
  • September 3
    Casey Donoven (Binghamton University)
    Automata acting on Fractal Spaces

    Abstract: A self-similar set is a set that is a union of scaled copies of itself. Through iterated labeling of the $n$ copies, $n^2$ subcopies, and so on, we create a correspondence between infinite sequences over an n letter alphabet and points in the self-similar set. Automata act naturally on infinite sequence, and I will explore groups of homeomorphisms of semi-similar sets induced by automata. I will focus on two examples, the unit interval and Julia set associated to the map $z^2+i$. An important tool in the construction of the automata is the approximation of these self-similar sets as finite graphs.

  • September 10
    Matt Evans (Binghamton University)
    BCK-algebras and generalized spectral spaces

    Abstract: Commutative BCK-algebras are the algebraic semantics of a non-classical logic. Mimicing the construction of the spectrum of a commutative ring (or Boolean algebra or distributive lattice), we can construct the spectrum of a commutative BCK-algebra.

    A topological space is called *spectral* if it is homeomorphic to the spectrum of some commutative ring, and *generalized spectral* if it is homeomorphic to the spectrum of a distributive lattice with 0.

    In this talk I will briefly discuss Hochster's characterization of spectral spaces, and then show that the spectrum of a commutative BCK-algebra is generalized spectral.

  • September 17
    Jonathan Doane (Binghamton University)
    Dualizing Kleene Algebras

    Abstract: It is well-known that the class of Boolean algebras is “generated” by the two element chain $F<T$ equipped with negation $\neg F:= T$, $\neg T:=F$. When we include an uncertainty element $F<U<T$, along with negation $\neg U: =U$, we generate the class of Kleene algebras. Of course, there is a famous correspondence between Boolean algebras and Boolean topological spaces, named Stone duality; this leads us to wonder if we can somehow represent Kleene algebras by topological spaces as well. In fact, Stone duality is but an application of a more general theory of dual equivalences between categories. In this talk, we will utilize this theory to construct a dual equivalence between the categories of Kleene algebras and certain topological spaces.

  • September 24
    David Biddle (Binghamton University)
    Title

    Abstract: Abstract

  • October 1
    No Classes (University)
    Title

    Abstract: Abstract

  • October 8
    Ben Brewster (Binghamton University)
    Title

    Abstract: Abstract

  • October 15
    Fikreab Admasu (Binghamton University)
    Title

    Abstract: Abstract

  • October 22
    Eran Crockett (Binghamton University)
    Title

    Abstract: Abstract

  • October 29
    Speaker (University)
    Title

    Abstract: Abstract

  • November 5
    Luise Kappe (Binghamton University)
    Title

    Abstract: Abstract

  • November 12
    Dikran Karagueuzian (Binghamton University)
    Title

    Abstract: Abstract

  • November 19
    Zach Costanzo (Binghamton University)
    Title

    Abstract: Abstract

  • November 26
    Speaker (University)
    Title

    Abstract: Abstract

  • December 3
    Speaker (University)
    Title

    Abstract: Abstract



seminars/alge.txt · Last modified: 2019/09/09 07:43 by tongviet