The "Commutative Algebra and Algebraic Geometry in the Southeast" will take place from 3:30 on Friday, November 8, 2013 until noon on Sunday, November 10, 2013 at the University of South Carolina. There is a strong and growing Commutative Algebra community in the Southeast and there is a strong and growing Algebraic Geometry community in the Southeast. The purpose of the "Commutative Algebra and Algebraic Geometry in the Southeast" conference is to foster collaborations between researchers at different institutions and encourage interaction between the Commutative Algebra and Algebraic Geometry communities. There will be nine lectures and a poster session where graduate students will present their work. The list of speakers includes renown experts as well as junior researchers.

Commutative Algebra and Algebraic Geometry are established and active areas of mathematics that have deep connections with each other and with many other subjects. They both study similar questions from somewhat different points of view. Both disciplines profit when there is inter-communication. The conference will provide opportunities for experts in these two fields to share ideas and techniques from one of the fields that might be beneficial to the other field, as well as opportunities for students and young researchers to exchange ideas, start collaborations, and be exposed to new mathematics.

Conference website can be found at www.math.sc.edu/~kustin/CA-AGMeeting.html.

Project Report

" was held on the campus of the University of South Carolina on the weekend November 8-10, 2013. There were 75 participants; of these: 62 came from out of town, 24 were women, 32 were students, 6 were Post-Docs, and 1 was African-American. The conference was designed to welcome a number of newly hired faculty in Commutative Algebra and Algebraic Geometry in this broad geographic region, to foster collaboration between researchers at different institutions, and to encourage and nurture interactions between the Commutative Algebra and Algebraic Geometry communitites. The conference was help from 4PM on Friday, November 8, 2013 until noon on Sunday, November 10, 2013. There were nine lectures, a poster session, and plenty of mathematical conversation during breaks. The lectures and the poster sessions were well-attended and sparked numerous questions and exchange of ideas. The nine lectures were: Nicolas Addington, Duke University (Post-Doc), "On derived categories of moduli spaces of torsion sheaves on K3" Neil Epstein, George Mason University (Assistant Professor), " The tight interior of a module: a dual to tight closure" Angela Gibney, University of Georgia (Associate Professor), "Conformal blocks and quantum cohomology" Robin Hartshorne, University of California-Berkeley (Professor Emeritus), "Set theoretic complete intersections and divisor class groups" Craig Huneke, University of Virginia (Professor), "Powers and symbolic powers define Golod rings" Ezra Miller, Duke University (Professor), "Binomial irreducible decompositions" Luis Nunez-Betancourt, University of Virginia (Post-Doc), "Lyubeznik numbers and injective dimension of local cohomology in mixed characteristic" Joseph Rabinoff, Georgia Instiutute of Technology (Assistant Professor), " Continuous analogues of methods used to calculate component groups of Jacobians Kristen Wickelgren, Georgia Institute of Technology (Assistant Professor), "An Abel map to the compactified Picard scheme realizes Poincare duality" The nine posters in the poster session were: Sema Gunturkun, University of Kentucky (student), "Constructing Homogeneous Gorenstein ideals" Jack Jeffries, University of Utah (student), and Jonatahn Montano, Purdue University (student), "Multiplicities of classical ideals" Ken-ichiroh Kawasaki, Nara University of Education, Japan (Professor), "Several results on characterizations of cofinite complexes" Kuei-Nuan Lin, Smith College (Visiting Assistant Professor), "Ehrhart and toric rings of 0-1 polytopes" Howard Nuer, Rutgers University (student), "On (2, 4) Calabi-Yau complete intersections that contain and Enriques surface Augustine O'Keefe, University of Kentucky (Post-Doc), "Edge ideals of Cameron-Walker graphs" Christopher O'Neil, Duke University (student), "Leamer Monoids and the Huneke-Wiegand conjecture" Gabriel Sosa, Purdue University (student), "A familiy of Koszul Cohen-Macaulay normal algebras" Brandon Stone, Bard College (Visiting Assistant Professor), "What sequences are defined by h-vectors?"

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
1343512
Program Officer
Tie Luo
Project Start
Project End
Budget Start
2013-11-01
Budget End
2014-10-31
Support Year
Fiscal Year
2013
Total Cost
$14,620
Indirect Cost
Name
University of South Carolina at Columbia
Department
Type
DUNS #
City
Columbia
State
SC
Country
United States
Zip Code
29208