Events
Department of Mathematics and Statistics
Texas Tech University
Let \(R\) be a commutative noetherian ring. The G-level of an
\(R\)-complex with bounded and degreewise finitely generated homology
counts the number of mapping cone constructions it takes to build the
complex from the collection of finitely generated Gorenstein
projective \(R\)-modules. We prove that if \(d+1\) is an upper bound for
the $G$-level of perfect \(R\)-complexes, then \(R\) is Gorenstein of
Krull dimension at most $d$. Further, for a Gorenstein ring of Krull
dimension \(d\), we show that the G-level of an \(R\)-complex with bounded
and degreewise finitely generated homology is at most
\(\max\{2,d + 1\}\). This improves the bound of \(2(d + 1)\)
obtained by Awadalla and Marley a few years ago and aligns with the
bound on \(R\)-levels in case \(R\) is regular. The talk is based on joint
work with Kekkou, Lyle, and Soto Levins.
 | Wednesday
Oct. 8
4 PM
Math 011
|
| Applied Mathematics and Machine Learning
TBA
Thomas Hagstrom
Department of Mathematics, Southern Methodist University
|
Abstract. TBA.
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room Math 011 (Math Basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 915 2866 2672
* Passcode: applied
abstract noon CDT (UT-5)
Zoom link available from Dr. Brent Lindquist upon request.