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Let k be a field and give R = k [x_{1}, …, x_{m}] the usual Z^{m} grading. Suppose that L is a Noetherian multigraded R-module. We will discuss some relevant components of a construction by Tchernev that gives a free multigraded resolution of L from a minimal free finite presentation. We will see how these components give upper bounds for the Betti numbers of L in each homological degree and give an example where these bounds are simultaneously achieved.
Refreshments at 4:15 pm in the Math Dept Lounge (2nd floor Harder Hall).
There will be a dinner at an Indian restaurant in Saratoga Springs at 6:30 pm. Please RSVP to David Vella (dvella@skidmore.edu) if you are planning to attend.
Upcoming talks:
| January 25 | Dan Yasaki (UMass) |
| February 8 | Jon Bannon (Siena) |
| March ?? | Marcin Mazur (Binghamton) |