Algebra, Combinatorics, and Geometry Archives
Date | Speakers | |
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Thursday, December 4, 2014 - 12:00
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Genus of complete intersections and Ehrhart-Macdonald reciprocity for convex polytopes 2 |
University of Pittsburgh
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Thursday, November 20, 2014 - 12:00
|
An affine quantum cohomology ring and periodic Toda lattice |
Leonardo Mihalcea
Virginia Tech
|
Thursday, November 13, 2014 - 12:00
|
Genus of complete intersections and Ehrhart-Macdonald reciprocity for convex polytopes 1 |
University of Pittsburgh
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Thursday, November 13, 2014 - 12:00
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Genus of complete intersections and Ehrhart-Macdonald reciprocity for convex polytopes 1 |
<p>I will describe the beautiful Ehrhart-Macdonald theorem which connects number of integral points in a convex polytope $\Delta$ and the number of integral points strictly inside $\Delta$. I will discuss the relation with Serre duality in algebraic geometry and finally show how one can use this to compute genus of complete intersections in smooth toric varieties. In a recent work (in progress, joint with A. G. Khovanskii) we generalize this to the so-called spherical varieties of any connected reductive group G. I will try to explain most of the necessary background.</p>
University of Pittsburgh
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Tuesday, November 4, 2014 - 11:00
|
Newton-type diagrams for singular flags and counting number of solutions of polynomials |
Pinaki Mondal
Weitzman Institute of Science
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Thursday, October 30, 2014 - 12:00
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Hadean numbers - exploring the underworld of reduced plane algebraic curves |
Brian Harbourne
University of Nebraska-Lincoln
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Thursday, October 23, 2014 - 12:00
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The socle, lattice of normal subgroups, and faithful irreducible characters 2 |
University of Pittsburgh
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Thursday, October 16, 2014 - 12:00
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The socle, lattice of normal subgroups, and faithful irreducible characters 1 |
University of Pittsburgh
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Thursday, October 16, 2014 - 12:00
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The socle, lattice of normal subgroups, and faithful irreducible characters 1 |
<p>A study of the Mobius function on the lattice of normal subgroups yields information of the number of conjugacy classes required to generate a finite group. It is shown how this number is reflected in the character table. A result of Geschutz states that faithful irreducible characters exist if and only if the socle is generated by a sole conjugacy class. By studying all faithful irreducible characters, generalizations of this result are presented. Faithful irreducible characters are shown to be orthogonal modulo the socle of the group. This leads, in particular, to information on the structure constants of the socle.</p>
University of Pittsburgh
|
Thursday, October 9, 2014 - 12:00
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Homotopy and homology of moduli spaces of elliptic curves 2 |
University of Pittsburgh
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Thursday, October 2, 2014 - 12:00
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Homotopy and homology of moduli spaces of elliptic curves 1 |
University of Pittsburgh
|
Thursday, April 17, 2014 - 12:00
|
Rankin-Selberg Theory of L-functions |
Mahdi Asgari
|
Thursday, April 3, 2014 - 12:00
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Divided difference operators for convex polytopes | |
Thursday, March 27, 2014 - 12:00
|
Factor critical graphs and irreducible decomposition of powers of edge ideals |
Hoang Le Truong
Hanoi Institute of Math
|
Thursday, March 6, 2014 - 12:00
|
Some properties of the quasicategory of frames |
Chris Kapulkin
|
Thursday, February 27, 2014 - 12:00
|
Toric Geometry in Coding Theory |
Ivan Soprunov
Cleveland State
|
Thursday, February 20, 2014 - 12:00
|
On a notion of entropy in local algebra |
Mahdi Majidi
CUNY
|
Thursday, February 13, 2014 - 12:00
|
Strategy for proving Joyal's conjecture |
Chris Kapulkin
University of Pittsburgh
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Thursday, February 6, 2014 - 12:00
|
Homotopy type theory and Joyal's conjecture |
Chris Kapulkin
University of Pittsburgh
|
Thursday, November 21, 2013 - 12:00 to 13:00
|
A product formula for certain coefficients of Jack polynomials |
Yusra Naqvi
Rutgers University
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Thursday, November 7, 2013 - 12:00 to 13:00
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Connected Hopf Algebras in Positive Characteristic |
Xingting Wang
Washington University
|
Thursday, October 31, 2013 - 12:00
|
On a problem of Erdös and Rothschild on edges in triangles |
Po-Shen Loh
Carnegie Mellon University
|
Thursday, October 24, 2013 - 12:00 to 13:00
|
Global and local Weyl modules for twisted current algebras |
Bogdan Ion
University of Pittsburgh
|
Thursday, October 17, 2013 - 12:00 to 13:00
|
Skew plane partitions with non-homogeneous weights |
Sevak Mkrtchyan
Carnegie Mellon University
|
Thursday, October 10, 2013 - 12:00 to 13:00
|
Introduction to Higher Categories II |
Rina Anno
University of Pittsburgh
|
Thursday, October 3, 2013 - 12:00 to 13:00
|
Introduction to Higher Categories |
Rina Anno
University of Pittsburgh
|
Thursday, September 26, 2013 - 12:00 to 13:00
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Moduli stack of curves and principal bundles II | |
Thursday, September 19, 2013 - 12:00 to 13:00
|
Moduli stack of curves and principal bundles |
University of Pittsburgh
|
Thursday, September 12, 2013 - 12:00 to 13:00
|
Tamagawa Numbers |
University of Pittsburgh
|
Thursday, February 28, 2013 - 12:00 to 12:50
|
BGG reciprocity for current algebras |
Bogdan Ion
University of Pittsburgh
|
Thursday, December 6, 2012 - 12:00 to 12:50
|
Design pairs |
University of Pittsburgh
|
Thursday, November 29, 2012 - 12:00 to 12:45
|
Structure of braided tensor categories |
Alexei Davydov
Ohio University
|
Thursday, November 15, 2012 - 12:00 to 13:00
|
The Combinatorial Commutative Algebra Of Conformal Blocks |
Christopher Manon
George Mason University
|
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