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.
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.
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.
3:00pm
4:00pm
5:00pm
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.