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--- seminars:alge [2026/02/13 15:50] – daniel
+++ seminars:alge [2026/08/07 01:34] (current) – htongvie
@@ Line 4: / Line 4: @@
 [[https://mathshistory.st-andrews.ac.uk/Biographies/Galois/|{{http://www.win.tue.nl/~aeb/at/mathematicians/galois1.jpg?110*135 |Evariste Galois}}]]   [[ https://mathshistory.st-andrews.ac.uk/Biographies/Noether_Emmy/|{{ http://seminars.math.binghamton.edu/AlgebraSem/emmy_noether.jpg?110*135|Emmy Noether}}]]
 \\  \\
- <WRAP centeralign>
-**#####The Algebra Seminar#####**
+<WRAP centeralign>
+**The Algebra Seminar**
 </WRAP></WRAP>
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 [[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:mazur:start|Marcin Mazur]], [[:people:daniel:start|Daniel Studenmund]] and [[:people:tongviet:start|Hung Tong-Viet]]
 To receive announcements of seminar talks by email, please email one of the organizers with your name, email address and reason for joining this list if you are external to Binghamton University.
 ----
-=====Spring 2026=====
+=====Fall 2026=====
-   * **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.
+   * **August 18**\\  <span style="color:blue;font-size:120%"> **Organizational Meeting **</span> \\         \\  <WRAP center box 90%> Please think about giving a talk in the Algebra Seminar, or inviting an outside speaker.
 </WRAP>
-   * **January 27**\\  <html> <span style="color:blue;font-size:120%"> Alex Feingold (Binghamton University) </span></html> \\      **//Tessellations from hyperplane families: Weyl and non-Weyl cases//** \\   \\  <WRAP center box 90%> **//Abstract//**: In collaboration with Robert Bieri and Daniel Studenmund, we have been studying tessellations of Euclidean spaces which arise from families of hyperplanes. A rich class of examples come from a finite type root system and associated finite Weyl group, W, whose affine extension acts on the tessellation. We have also seen examples which do not come from a root system and Weyl group, so we want to understand exactly what geometric properties of the hyperplane families are needed for our project. Our goal has been to define and study piecewise isometry groups acting on such tessellations. In this talk I will discuss the details of some Weyl and some non-Weyl tessellations.  </WRAP>
+   * **August 25**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
+  * **September 1**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
+  * **September 8**\\  <html> <span style="color:blue;font-size:120%"> Monday classes meet</span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
+  * **September 15**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
+   * **September 22**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **February 3**\\  <html> <span style="color:blue;font-size:120%"> Tim Riley (Cornell University) </span></html> \\      **//Conjugator length//** \\   \\  <WRAP center box 90%> **//Abstract//**: The conjugacy problem for a finitely generated group $G$ asks for an algorithm which, on input a pair of words u and v, declares whether or not they represent conjugate elements of $G$. The conjugator length function $CL$ is its most direct quantification: $CL(n)$ is the minimal $N$ such that if $u$ and $v$ represent conjugate elements of $G$ and the sum of their lengths is at most $n$, then there is a word $w$ of length at most $N$ such that $uw=wv$ in $G$.  I will talk about why this function is interesting and how it can behave, and I will highlight some open questions.  En route I will talk about results variously with Martin Bridson, Conan Gillis, and Andrew Sale, as well as recent advances by Conan Gillis and Francis Wagner. </WRAP>
-    * **February 10**\\  <html> <span style="color:blue;font-size:120%"> Ryan McCulloch (Binghamton University) </span></html> \\      **//A p-group Classification Related to Density of Centralizer Subgroups//** \\   \\  <WRAP center box 90%> **//Abstract//**: If $\mathfrak{P}$ is a property pertaining to subgroups of a $p$-group $G$, and if each subgroup with property $\mathfrak{P}$ contains $Z(G)$, then a group $G$ whose subgroups are dense with respect to property $\mathfrak{P}$ must satisfy the following criteria:
+   * **September 29**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-$|Z(G)|= p$ and every subgroup $H$ of order at least $p^2$ contains $Z(G)$.
-I will discuss our progress in obtaining a classification of all such $p$-groups. This is joint work with Mark Lewis and Tae Young Lee. </WRAP>
+   * **October 6**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **February 17**\\  <html> <span style="color:blue;font-size:120%"> Tae Young Lee (Binghamton University) </span></html> \\      **//Title: Finite groups with many elements of the same order//** \\   \\  <WRAP center box 90%> **//Abstract//**: It is a well-known fact that if more than 3/4 of the elements of a finite group are involutions then the group is abelian. Berkovich proved that if more than 4/15 are involutions then the group must be solvable. Motivated by these results, Deaconescu asked the following question: If at least half of the elements are of the same order, $k$, does the group have to be solvable? In this talk, we prove this when $k = p^a$ for primes $p$ except when $p = 2,3$ and $a > 1$, and give counterexamples for larger powers of 2 and 3 except $k = 4$, and also for several other types of composite numbers. We also show that when $k > 4$, it is always possible to find a non-solvable group such that at least 3/19 of its elements have order $k$. This is a joint work with Ryan McCulloch. </WRAP>
-   * **February 24**\\  <html> <span style="color:blue;font-size:120%"> Lei Chen (Bielefeld University, by Zoom) </span></html> \\      **//Covering a finite group by the conjugates of a coset//** \\   \\  <WRAP center box 90%> **//Abstract//**: It is well known that for a finite group G and a proper subgroup A of G, it is impossible to cover G with the conjugates of A. Thus, instead of the conjugates of A, we take the conjugates of the coset Ax in G and check if the union of $(Ax)^g$ covers G-{1} for g in G. Moreover, if $(Ax)^g$ covers G for all Ax in Cos(G:A), we say that (G,A) is CCI. We are aiming to classify all such pairs. It has been proven by Baumeister-Kaplan-Levy that this can be reduced to the case where A is maximal in G, and so that the action of G on Cos(G:A) is primitive, here Cos(G:A) stands for the set of right cosets of A in G. And they showed that (G,A) is CCI if G is 2-transitive. By O'Nan-Scott Theorem and CFSG (classification of finite simple groups), we see that G is either an affine group or almost simple. In the paper by Baumeister-Kaplan-Levy, it is shown that affine CCI groups are 2-transitive. Thus, it remains to consider the almost simple groups. By employing the knowledge of buildings, representation theory, and Aschbacher-Dynkin theorem, we prove that, apart from finitely many small cases, the CCI almost simple groups are 2-transitive.  </WRAP>
+   * **October 13**\\  <html> <span style="color:blue;font-size:120%">  No class </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **March 3**\\  <html> <span style="color:blue;font-size:120%"> Chaitanya Joglekar (Binghamton University) </span></html> \\      **//Title//** \\   \\  <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP>
+   * **October 20**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **March 10**\\  <html> <span style="color:blue;font-size:120%"> Hanlim Jang (Binghamton University) </span></html> \\      **//Title//** \\   \\  <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP>
-   * **March 17**\\  <html> <span style="color:blue;font-size:120%"> William Cocke (Carnegie Mellon University) </span></html> \\      **//Title//** \\   \\  <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP>
+   * **October 27**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//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>
-   * **March 31**\\  <html> <span style="color:blue;font-size:120%">  No Meeting (Spring Break) </span></html> \\
+   * **November 3**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **April 7**\\  <html> <span style="color:blue;font-size:120%"> No Meeting (Monday Classes Meet) </span></html>\\
-   * **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 10**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//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 17**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
-   * **April 28**\\  <html> <span style="color:blue;font-size:120%"> Thi Hoai Thu Quan (Binghamton University) </span></html> \\      **//Title//** \\   \\  <WRAP center box 90%> **//Abstract//**: Text of Abstract </WRAP>
+   * **November 24**\\  <html> <span style="color:blue;font-size:120%">  Friday classes meet </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//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>
+   * **December 1**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
+   * **December 8**\\  <html> <span style="color:blue;font-size:120%">  Speaker (Binghamton University) </span></html> \\      **//Title //** \\   \\  <WRAP center box 90%> **//Abstract//**:  </WRAP>
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   * [[seminars:alge:alge-Spring2025|Spring 2025]]
   * [[seminars:alge:alge-fall2025|Fall 2025]]
+  * [[seminars:alge:alge-Spring2026|Spring 2026]]