Tue, September 19, 2017
Public Access Category: All |
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- Time:
- 9:30am-10:25am
- Location:
- Ramanujan Hall
- Description:
- Title: Huneke-Itoh Intersection Theorem and its Consequences - I
Abstract: Huneke and Itoh independently proved a celebrated result on
integral closure of powers of an ideal generated by a regular sequence. As
a consequence of this theorem, one can find the Hilbert-Samuel polynomial
of the integral closure filtration of I if the normal reduction number is
at most 2. We prove Hong and Ulrich's version of the intersection theorem.
- Time:
- 10:30am-11:25am
- Location:
- Ramanujan Hall
- Description:
- Title: Tate Resolutions - III
Abstract: Let S be a Noetherian ring, and R = S/I. It is always possible
to construct a differential graded algebra (DG-algebra) resolution of R
over S due to a result of Tate. If R is the residue field of S, then
Gulliksen proved that such a DG-algebra resolution is minimal. We shall
discuss the construction of the Tate resolution in our talk.
- Time:
- 2:30pm-5:30pm
- Location:
- Venue (tentative): Room 216, Department of Mathematics
- Description:
- Title: Local Fields
Speaker: Nagarjuna Chary
Venue (tentative): Room 216, Department of Mathematics
Abstract: We will continue with the material in Chapter 1 in Cassels and
Frohlich.