seminars:topsem
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seminars:topsem [2025/09/17 11:54] malkiewich Keenan date |
seminars:topsem [2025/12/21 06:25] (current) lruffoni |
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| <select id="setit" style="color: #0000FF" size="1" name="test"> | <select id="setit" style="color: #0000FF" size="1" name="test"> | ||
| <option value="">Previous seminars</option> | <option value="">Previous seminars</option> | ||
| + | <option value="http://www2.math.binghamton.edu/p/seminars/topsem/topsem_fall2025">Fall 2025</option> | ||
| <option value="http://www2.math.binghamton.edu/p/seminars/topsem/topsem_spring2025">Spring 2025</option> | <option value="http://www2.math.binghamton.edu/p/seminars/topsem/topsem_spring2025">Spring 2025</option> | ||
| <option value="http://www2.math.binghamton.edu/p/seminars/topsem/topsem_fall2024">Fall 2024</option> | <option value="http://www2.math.binghamton.edu/p/seminars/topsem/topsem_fall2024">Fall 2024</option> | ||
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| - | ====== Fall 2025 ====== | + | ====== Spring 2026 ====== |
| - | * **August 28th** \\ Speaker: ** Cary Malkiewich (Binghamton) ** \\ Title: ** Higher scissors congruence | + | * **January 22nd** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | ** <WRAP box>// Abstract: // Scissors congruence is the study of polytopes, up to the relation of cutting into finitely many pieces and rearranging the pieces. In the 2010s, Zakharevich defined a "higher" version of scissors congruence, where we don't just ask whether two polytopes are scissors congruent, but also how many scissors congruences there are from one polytope to another. | + | |
| - | Zakharevich's definition is a form of algebraic K-theory, which is famously difficult to compute, but I describe some recent work that makes these calculations possible, at least for low-dimensional geometries. This allows us to compute the homology of the group of cut-and-paste operations in new cases, including the group of interval exchange transformations, and a new proof of Szymik and Wahl's theorem that Thompson's group V is acyclic. | + | * **January 29h** \\ Speaker: ** Juliet Aygun (Cornell) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | Much of this talk is based on joint work with Anna-Marie Bohmann, Teena Gerhardt, Mona Merling, and Inna Zakharevich, and also with Alexander Kupers, Ezekiel Lemann, Jeremy Miller, and Robin Sroka. \\ </WRAP> | + | * **February 5th** \\ Speaker: ** Barry Minemyer (Commonwealth University - Bloomsburg) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | * **September 4th** \\ Speaker: ** Liz Tatum (Rochester) ** \\ Title: ** Some applications of equivariant Brown-Gitler spectra ** <WRAP box>// Abstract: // In the 1980s, Mahowald and Kane used integral Brown-Gitler | + | * **February 12th** \\ Speaker: ** Sanjana Agarwal (Indiana University, Bloomington) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | spectra to construct splittings of the cooperations algebras for ko, | + | |
| - | connective real k-theory, and ku, connective complex k-theory. These | + | * **February 19th** \\ Speaker: ** Satya Howladar (University of Florida) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | splittings helped make it feasible to do computations using the ko- and | + | |
| - | ku-based Adams spectral sequences. | + | |
| - | These spectral sequences have proven to be powerful tools for better understanding the structure of the stable homotopy groups of the sphere, with a variety of interesting applications. For example, Mahowald used them to verify the Telescope Conjecture at height one, and Gonzalez later used them to classify stunted lens spaces. | + | * **February 26th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | In this talk, I will discuss progress towards developing analogues of these tools in the C_2 equivariant setting. In particular, Guchuan Li, Sarah Petersen, and I have constructed models for C_2-equivariant analogues of the integral Brown-Gitler spectra, and used them to construct an analogue of the ku-splitting. \\ </WRAP> | + | |
| - | * **September 18th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | * **March 5th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
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| + | * **March 12th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
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| + | * **March 19th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
| - | * **September 25th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | * **March 26th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| - | * **October 2nd** \\ No seminar \\ | + | * **April 2nd** <WRAP box>// // (Spring break - no seminar) \\ </WRAP> |
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| - | * **October 9th** \\ Speaker: ** Liam Keenan (Brown University) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **October 16th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **October 23th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **October 30th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **November 6th** \\ Speaker: ** Genevieve Walsh (Tufts University) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **November 13th** \\ Speaker: ** Maximilien Peroux (Michigan State University) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **November 20th** \\ Speaker: ** David Chan (Michigan State University) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| - | * **November 27th** \\ No seminar \\ | + | |
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| - | * **December 4th** \\ Speaker: **Hongbin Sun (Rutgers) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | |
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| + | * **April 9th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
| + | * **April 16th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
| + | * **April 23th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
| + | * **April 30th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | ||
seminars/topsem.1758124454.txt · Last modified: 2025/09/17 11:54 by malkiewich