Current Series

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Thu Sep 26

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Global Sections of Toric Vector Bundles
Jorin Schug

This talk will continue to follow the "Parliament of Polytopes" paper by Di Rocco, Jabbusch, and Smith. I'll discuss the result that the T-equivariant generators for the global sections of a toric vector bundle E correspond to the lattice points in the parliament of polytopes for E and look to understand this result for some examples, including direct sums of line bundles.

Thu Oct 03

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Linkage, and the licci conjecture on grade 3 perfect ideals
Mahrud Sayrafi, University of Minnesota

Let Q be a regular local ring. An ideal I in Q is said to be licci if it is in the linkage class of a complete intersection. Christensen, Veliche and Weyman conjectured that a perfect ideal of grade 3 in Q is licci if and only if its free resolution corresponds to Dynkin diagrams.

After introducing the theory of linkage, I will talk about the conjecture, how Dynkin diagrams are involved, and their approach in showing one direction of the conjecture in arXiv:1712.04016.

Thu Oct 10

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
Mike Loper, University of Minnesota
Thu Oct 17

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
Rebecca R.G., George Mason University
Thu Oct 24

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Spectral Sequences
Gennady Lyubeznik, University of Minnesota

This is the first of a series of three talks on the spectral sequence of a filtered complex.
This material is by now classical and is an important part of homological algebra.
The main difficulty in dealing with spectral sequences is that there are a lot of indexes involved and this is a considerable obstacle to understanding what is going on. The goal of these talks is to present this material, including most proofs, in an accessible manner.

Thu Oct 31

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Spectral sequences
Gennady Lyubeznik, University of Minnesota

This is the first of a series of three talks on the spectral sequence of a filtered complex.
This material is by now classical and is an important part of homological algebra.
The main difficulty in dealing with spectral sequences is that there are a lot of indexes involved and this is a considerable obstacle to understanding what is going on. The goal of these talks is to present this material, including most proofs, in an accessible manner.

Thu Nov 07

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
The spectral sequence of a filtered complex
Gennady Lyubeznik, University of Minnesota

This is the third of a series of three talks on the spectral sequence of a filtered complex. This material is by now classical and is an important part of homological algebra. The main difficulty in dealing with spectral sequences is that there are a lot of indexes involved and this is a considerable obstacle to understanding what is going on. The goal of these talks is to present this material, including most proofs, in an accessible manner.

Thu Nov 14

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
Gennady Lyubeznik, University of Minnesota
Thu Nov 21

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
Erika Ordog, Duke University
Thu Nov 28

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
TBA
Thu Dec 05

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
McCleary Philbin, University of Minnesota
Thu Dec 12

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
TBA
Thu Dec 19

Commutative Algebra Seminar

2:30pm - Vincent Hall 209
Commutative Algebra Seminar
TBA