~~META:title=Algebra Seminar~~ [[http://www-history.mcs.st-and.ac.uk/Biographies/Galois.html|{{http://www.win.tue.nl/~aeb/at/mathematicians/galois1.jpg?110*135 |Evariste Galois}}]] [[ http://www-history.mcs.st-and.ac.uk/Mathematicians/Noether_Emmy.html|{{ http://seminars.math.binghamton.edu/AlgebraSem/emmy_noether.jpg?110*135|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: [[:people:alex:start|Alex Feingold]] and [[:people:tongviet:start|Hung Tong-Viet]] To receive announcements of seminar talks by email, please join the seminar's [[http://www1.math.binghamton.edu/mailman/listinfo/algsem|mailing list]]. ---- =====Spring 2020===== * **January 21**\\ No Algebra Seminar Meeting \\ \\ Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker. * **January 28**\\ Organizational Meeting \\ \\ * **February 4**\\ Casey Donoven (Binghamton University) \\ **//Thompson's Group V is 3/2-Generated//** \\ \\ **//Abstract//**: Every finite simple group can be generated by two elements and furthermore, every nontrivial element is contained in a generating pair. Groups with this property are said to be 3/2-generated. Thompson’s group V, a finitely presented infinite simple group, is one of a small number of examples of infinite noncyclic 3/2-generated groups. I will present a constructive proof of this fact and mention extensions of this theorem to generalizations of V. * **February 11**\\ Cancelled \\ **////** \\ \\ * **February 18**\\ Eran Crockett (Binghamton University) \\ **//Universal algebra and constraint satisfaction problems//** \\ \\ **//Abstract//**: Constraint satisfaction problems (CSPs) form a class of combinatorial decision problems generalizing graph colorability and Boolean satisfiability. In this expository talk, I will explain how ideas from universal algebra have been instrumental in classifying the computational complexity of CSPs. * **February 25**\\ Fikreab Solomon Admasu (Binghamton University) \\ **// Subgroups of the integer lattice $\mathbb{Z}^d$ and the higher rank discrete Heisenberg groups//** \\ \\ **//Abstract//**: A sublattice $L$ of the integer lattice $\mathbb{Z}^d$ is called co-cyclic when the quotient $\mathbb{Z}^d/L$ is a cyclic group. Approximately $85\%$ of sublattices of finite index in $\mathbb{Z}^d$ are co-cyclic. This can be proven by either counting solutions to linear congruence equations or using zeta function methods. We show a similar result holds for subgroups of the discrete Heisenberg groups $H_{2d+1}.$ * **March 3**\\ Matt Evans (Binghamton University) \\ **//Some recent results for spectra of commutative BCK-algebras//** \\ \\ **//Abstract//**: BCK-algebras are the algebraic semantics of a non-classical logic. Like for commutative rings, there is a notion of a prime ideal in these algebras, and the set of prime ideals is a topological space called the spectrum. By work of Stone (and later, Priestley), there is a close connection between these spectra and distributive lattices with 0. In this talk I will discuss some recent results on the interplay between commutative BCK-algebras, their spectra, and distributive lattices. * **March 10**\\ Aparna Upadhyay (University at Buffalo) \\ **//The Benson-Symonds Invariant//** \\ \\ **//Abstract//**: Let $M$ be a finite dimensional $kG$-module for a finite group $G$ over a field $k$ of characteristic $p$. In a recent paper Dave Benson and Peter Symonds defined a new invariant $\gamma_G(M).$ This invariant measures the non-projective proportion of the module $M$. In this talk, we will see some interesting properties of this invariant. We will then determine this invariant for permutation modules of the symmetric group corresponding to two-part partitions and present a combinatorial formula for the same using tools from representation theory and combinatorics. * **March 17**\\ Cancelled \\ * **March 24**\\ Cancelled \\ * **March 31**\\ Cancelled \\ * **April 7**\\ Spring vacation \\ * **April 14**\\ Cancelled \\ * **April 21**\\ Cancelled \\ * **April 28**\\ Cancelled \\ * **May 5**\\ Cancelled \\ ---- ---- * [[http://seminars.math.binghamton.edu/AlgebraSem/index.html|Pre-2014 semesters]]\\ * [[seminars:alge:fall2014]] * [[seminars:alge:spring2015]] * [[seminars:alge:alge_fall2015]] * [[seminars:alge:alge-spring2016]] * [[seminars:alge:alge-fall2016]] * [[seminars:alge:alge-Spring2017|Spring 2017]] * [[seminars:alge:alge-Fall2017|Fall 2017]] * [[seminars:alge:alge-Spring2018|Spring 2018]] * [[seminars:alge:alge-Fall2018|Fall 2018]] * [[seminars:alge:alge-Spring2019|Spring 2019]] * [[seminars:alge:alge-fall2019|Fall 2019]]