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seminars:alge

The Algebra Seminar

In a normal semester, the seminar would meet on Tuesdays in room WH-100E at 2:50 p.m. There would be refreshments served at 4:00 in room WH-102. But under the current COVID-19 pandemic, in-person seminar talks do not seem safe, and no refreshments or socializing in person will be allowed in Fall 2020 and Spring 2021.

We therefore propose that all speakers at the Algebra Seminar present their talks using Zoom. 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. The Zoom meeting link is below.

Organizers: Alex Feingold and Hung Tong-Viet

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

You may wish to download and import the following iCalendar (.ics) files to your calendar system. Weekly: https://binghamton.zoom.us/meeting/tJEtdOmuqzwpEtGNr3pf7HnHS0ysG2xzxC99/ics?icsToken=98tyKuCtrjgqHNGSsxGCRowMAojCc-7wmGZej7d6sg22EyYESg3eBbJbIZUtCMLI

You may also use the following link to join each Algebra Seminar Zoom Meeting: https://binghamton.zoom.us/j/95030657385

Please note that we have now implemented a Passcode required to join the zoom meeting. That passcode is the number obtained by adding up all the positive integers from 1 to 100, 1+2+…+100. That should keep the zoom bombers out!

Spring 2021

• February 16
Organizational Meeting

Join Zoom Meeting using this link. The Meeting ID: 950 3065 7385. Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker.

• February 23 at 4:15 PM in the Arithmetic Seminar
Fikreab Admasu (Binghamton University)
Bhargava's composition law for binary cubic forms

Abstract: The Delone-Fadeev correspondence shows that binary cubic forms with integer coefficients parametrize orders in cubic fields. With this result in mind, Bhargava constructs a binary cubic form 2x3x3 boxes of integers and proves that there is a natural composition law for the boxes of integers. The group resulting from this law is then shown to be isomorphic to the class group of a corresponding cubic order. This is a cubic analogue of Gauss's theory of composition for binary quadratic forms and its relation to ideal classes of quadratic orders. The talk is based on Bhargava's “Higher composition laws II: On cubic analogues of Gauss composition.”

• March 2
Jonathan Doane (Binghamton University)
Affine duality, indeed

Abstract: Rings with unity and bounded lattices have two underlying monoid structures - one with 0 and another with 1. There are exactly four twice monoid'' structures for which $\{0,1\}$ can be equipped; two of these actually resemble Boolean rings (BRs), one is a bounded distributive lattice (BDL), and the last is an elementary Abelian 2-group with 1, called $\textbf{A}$. Since BRs and BDLs are dualizable to Boolean spaces and Priestley spaces, respectively, it is natural to ask whether or not $\textbf{A}$ is dualizable as well. The aim of this talk is to answer this question in the affirmative.

• March 9
Heiko Dietrich (Monash University)
An update on group isomorphism

Abstract: In this talk I will present some results of an ongoing project with James Wilson (Colorado State University) on the group isomorphism problem (which asks whether two given groups are isomorphic). For example, we have shown that group isomorphism is “easy” for almost all group orders. While the latter result is for the Cayley table model, I will also report on some more practical results: if time permits, then I will comment on cubefree groups, C-groups, and some groups of 'small order type'. The latter is joint work with my former Honours student Darren Low and current MPhil student Eileen Pan.

• March 16
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• March 23
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• March 30
Zekeriya (Yalcin) Karatas (University of Cincinnati Blue Ash College)
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• April 6
Justin Lynd (University of Louisiana at Lafayette)
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• April 13
Martino Garonzi (Universidade de Brasília)
Elements pairwise generating the symmetric groups of even degree

Abstract: In this talk I will present a recent work joint with F. Fumagalli and A. Maróti where we compute the maximal size of a subset S of the symmetric group G=Sym(n) (of even degree n at least 26) with the property that any two elements of S generate G. In particular, we show that it equals the covering number of G. Arxiv link

• April 20
No Seminar
• April 27
Mandi A. Schaeffer Fry (Metropolitan State University of Denver)
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• May 4
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• May 11
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• May 18
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seminars/alge.txt · Last modified: 2021/02/22 10:37 by alex