seminars:alge
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| **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.** | **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: | + | If needed, the following link would be used for a zoom meeting (Meeting ID: 948 2031 8435, Passcode: 053702) of the Algebra Seminar: |
| - | [[https://binghamton.zoom.us/j/93487611842 | Algebra Seminar Zoom Meeting Link]] | + | [[https://binghamton.zoom.us/j/94820318435?pwd=csFLTKnx0MIwKgLCh9LqRphUn54usX.1 | Algebra Seminar Zoom Meeting Link]] |
| Organizers: [[:people:alex:start|Alex Feingold]], [[:people:daniel:start|Daniel Studenmund]] and [[:people:tongviet:start|Hung Tong-Viet]] | Organizers: [[:people:alex:start|Alex Feingold]], [[:people:daniel:start|Daniel Studenmund]] and [[:people:tongviet:start|Hung Tong-Viet]] | ||
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| - | =====Fall 2025===== | + | =====Spring 2026===== |
| - | * **August 19**\\ <html> <span style="color:blue;font-size:120%">Organizational Meeting</span></html> \\ \\ <WRAP center box 90%> Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker. | + | * **January 20**\\ <html> <span style="color:blue;font-size:120%">Organizational Meeting</span></html> \\ \\ <WRAP center box 90%> Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker. |
| </WRAP> | </WRAP> | ||
| - | * **August 26**\\ <html> <span style="color:blue;font-size:120%"> Ryan McCulloch (Binghamton University) </span></html> \\ **//The commuting graph and the centralizer graph of a group//** \\ \\ <WRAP center box 90%> **//Abstract//**: Let $G$ be a group. The commuting graph $\mathfrak{C}(G)$ for $G$ is the graph whose vertices are $G-Z(G)$ and if $a, b \in G-Z(G)$, $a \neq b$, then there is an edge between $a$ and $b$ if $ab = ba$. A close cousin of $\mathfrak{C}(G)$ is the centralizer graph, which we define. When a connected component of $\mathfrak{C}(G)$ is a complete graph, the corresponding component in the centralizer graph is an isolated vertex, and we call such a component trivial. Otherwise, the natural bijection between the commuting graph and the centralizer graph preserves the diameter of connected components. | + | * **January 27**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | One sees that if $G$ is a Frobenius group with a nonabelian kernel and a nonabelian complement where the complement has nontrivial center, then the centralizer graph of $G$ has more than one nontrivial component. Can this happen in a $p$-group? The answer is yes! In fact, for any specified number $k$ of nontrivial components and any diameter sizes $n_1,\dots, n_k$, one can construct a $p$-group of nilpotency class 2 whose centralizer graph has these specs. This is joint work with Mark Lewis. </WRAP> | + | * **February 3**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **September 2**\\ <html> <span style="color:blue;font-size:120%"> No Meeting (Monday classes meet) </span></html> \\ | + | * **February 10**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **September 9**\\ <html> <span style="color:blue;font-size:120%"> Chris Schroeder (Binghamton University) </span></html> \\ **//A topological quantum field theory and invariants of finite groups//** \\ \\ <WRAP center box 90%> **//Abstract//**: In this talk, we will discuss the properties of finite groups that are witnessed by the group invariants arising in the context of Dijkgraaf-Witten theory, a topological quantum field theory, as invariants of surfaces. Assuming the theory is derived from the complex group algebra of a finite group, these invariants are generalizations of the commuting probability, an invariant that has been well studied in the literature. The main goal of this talk is to construct these invariants from scratch, assuming no previous knowledge of quantum mechanics. </WRAP> | + | * **February 17**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **September 16**\\ <html> <span style="color:blue;font-size:120%"> Alex Feingold (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract | + | * **February 24**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | </WRAP> | + | |
| - | * **September 23**\\ <html> <span style="color:blue;font-size:120%"> No Algebra Seminar </span></html> \\ | + | * **March 3**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **September 30**\\ <html> <span style="color:blue;font-size:120%"> Thu Quan (Binghamton University) </span></html> \\ **//A generalization of Camina pairs and orders of elements in cosets//** \\ \\ <WRAP center box 90%> **//Abstract//**: Let $G$ be a finite group with a nontrivial proper subgroup $H$. If $H$ is normal in $G$ and for every element $x\in G\setminus H$, $x$ is conjugate to $xh$ for all $h\in H$, then the pair $(G,H)$ is called a Camina pair. In 1992, Kuisch and van der Waall proved that $(G,H)$ is a Camina pair if and only if every nontrivial irreducible character of $H$ induces homogeneously to $G$. In this talk, we discuss the equivalence of these two conditions on the pair $(G,H)$ without assuming that $H$ is normal in $G$. Furthermore, we determine the structure of $H$ under the hypothesis that, for every element $x\in G\setminus H$ of odd order, all elements in the coset $xH$ also have odd order. </WRAP> | + | * **March 10**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **October 7**\\ <html> <span style="color:blue;font-size:120%"> No Algebra Seminar </span></html> \\ | + | * **March 17**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **October 14**\\ <html> <span style="color:blue;font-size:120%"> Hung Tong-Viet (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **March 24**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **October 21**\\ <html> <span style="color:blue;font-size:120%"> Inna Sysoeva (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **March 31**\\ <html> <span style="color:blue;font-size:120%"> No Meeting (Spring Break) </span></html> \\ |
| - | * **October 28**\\ <html> <span style="color:blue;font-size:120%"> Daniel Studenmund (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **April 7**\\ <html> <span style="color:blue;font-size:120%"> No Meeting (Monday Classes Meet) </span></html>\\ |
| - | * **November 4**\\ <html> <span style="color:blue;font-size:120%"> Robert Bieri (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **April 14**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **November 11**\\ <html> <span style="color:blue;font-size:120%"> Tae Young Lee (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **April 21**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **November 18**\\ <html> <span style="color:blue;font-size:120%"> (? University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **April 28**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
| - | * **November 25**\\ <html> <span style="color:blue;font-size:120%"> (? University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | * **May 5**\\ <html> <span style="color:blue;font-size:120%"> (Binghamton University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> |
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| - | * **December 2**\\ <html> <span style="color:blue;font-size:120%"> (? University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP> | + | |
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| * [[seminars:alge:alge-fall2024|Fall 2024]] | * [[seminars:alge:alge-fall2024|Fall 2024]] | ||
| * [[seminars:alge:alge-Spring2025|Spring 2025]] | * [[seminars:alge:alge-Spring2025|Spring 2025]] | ||
| + | * [[seminars:alge:alge-fall2025|Fall 2025]] | ||
seminars/alge.1757706600.txt · Last modified: 2025/09/12 15:50 by tongviet