Next talk, September 23rd, Fall 2026

5:30 Eastern = 4:30 Central = 3:30 Mountain = 2:30 West Coast

Speaker:  Joachim Jelisiejew (University of Warsaw)

Title:   Commutative algebra of tensors

Abstract:    Tensors are a vast generalization of multiplication maps of zero-dimensional algebras and modules. Historically, they form a difficult, important part of algebraic complexity theory, rich in open questions.  Thanks to very recent developments such as centroids and concise limits, one can now study them efficiently using commutative algebra.  In the first half of the talk, I will carefully explain the connection and give ample motivation, including some open questions.  In the second half, I will outline consequences, both on the purely algebraic level, and on the moduli spaces level, including to Quot schemes of points etc.    

No knowledge of tensors is assumed.

• Michael K. Brown (Auburn)

• Dale Cutkosky (Missouri)

• David Eisenbud (Berkeley)

• Irena Peeva (Cornell)

• Claudia Polini (Notre Dame)

• Karl Schwede (Utah)

• Gregory G. Smith (Queen's University)

• Bernd Ulrich (Purdue)