Where: PHY 1117

Speaker: () -

Abstract: We will discuss possible topics for fall. A few regular members of the seminar are on leave this term, so that might require some adjustments.

Where: Phys 1117

Speaker: Richard Wentworth (UMCP) - http://math.umd.edu/~raw

Where: Phys 1117

Speaker: Richard Wentworth (UMCP) - http://math.umd.edu/~raw

Where: Phys 1117

Speaker: Tristan Hubsch (Howard and UMd) - http://physics1.howard.edu/~thubsch/

Where: Phys 1117

Speaker: Paul Green (UMd)

Abstract: We will give a quick review of those aspects of Hodge theory needed for mirror symmetry of Calabi-Yau manifolds. Topics will include the Hodge filtration and the Gauss-Manin connection.

Where: Phys 1117

Speaker: Tristan Hubsch (Howard and UMd) - http://physics1.howard.edu/~thubsch/

Where: Phys 1117

Speaker: Paul Green (UMd)

Abstract: We will continue the discussion of Hodge theory with emphasis on the monodromy associated with families of Calabi-Yau manifolds. A useful reference

is the paper of David Morrison: Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians. J. Amer. Math. Soc. 6 (1993), no. 1, 223-247.

A link may be found on the RIT Wiki.

Where: Phys 1117

Speaker: Paul Green (UMd)

Abstract: We will continue the discussion of Hodge theory with emphasis on the monodromy associated with families of Calabi-Yau manifolds. A useful reference

is the paper of David Morrison: Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians. J. Amer. Math. Soc. 6 (1993), no. 1, 223-247.

A link may be found on the RIT Wiki. In this third lecture we will explain how everything works in the case originally treated by Candelas-de la Ossa-Green-Parkes.

Where: Phys 1117

Speaker: Tristan Hubsch (Howard and UMd) - http://physics1.howard.edu/~thubsch/

Where:

Where: Phys 1117

Speaker: Matt Calkins (UMd)

Abstract: We'll discuss the famous paper by A. Chamseddine and A. Connes, The spectral action principle, Comm. Math. Phys. 186 (1997), no. 3, 731-750. The idea is to show that a "noncommutative space" (an algebra A playing the role of "functions on the space", a Hilbert space H with a representation of A, and a self-adjoint operator (like the Dirac operator) "almost commuting" with A) naturally comes with a "spectral action", and that many physical theories arise this way.

Where: Phys 1117

Speaker: Amin Gholampour (UMd)

Where: Phys 1117

Speaker: Amin Gholampour (UMd)

Where: PHYS 1117

Speaker: Chuck Doran (Alberta and Maryland)

Abstract: In 2002, at the Fano Conference, Andrey Tyurin made two insightful proposals regarding Calabi-Yau manifolds and their moduli: (1) a definition of “constructive” Calabi-Yau manifolds, i.e., those which admit degenerations to a union of two quasi-Fano varieties intersecting transversely, and (2) a question of how the mirror Calabi-Yau manifolds should be related to the mirror Landau-Ginzburg models of the component Fano varieties. We will explore these proposals, working our way up in dimension, and survey our results to date, with a special emphasis on the quintic/quintic mirror Calabi-Yau threefolds. This is a recap of my talk at the String-Math Conference earlier this month.

Where: Phys 1117

Speaker: Chuck Doran (Alberta and UMCP) -

Where: PHYS 1117

Speaker: Paul Green (UMCP) -

Where: PHYS 1117

Speaker: Tristan Hubsch (Howard) -

Where: PHYS 1117

Speaker: Chuck Doran (Alberta and UMCP) -

Where: Phys 1117

Speaker: Paul Green (UMCP) -

Where: Phys 1117

Speaker: Marco Aldi (Virginia Commonwealth)

Abstract: Building on earlier results of Borisov, we describe a conceptual proof of Berglund-Hübsch mirror symmetry. We also describe a variant of our construction that is remarkably effective in the study of certain arithmetic properties of the underlying mirror dual Calabi-Yau's. This is joint work with Andrija Peruničić.

Where: Phys 1117

Speaker: Amin Gholampour (UMCP) -

Where: Math 1313

Speaker: Artan Sheshmani (Ohio State and MIT) - https://people.math.osu.edu/sheshmani.1/Welcome.html

Abstract: I will talk about derivation of an explicit formula for the generating function of all DT invariants counting "vertical" two dimensional sheaves on K3 fibrations. The final expressions will be shown to satisfy strong modularity properties. In particular I will talk about a new construction of vector valued modular forms which emerges from the geometric framework, exhibiting some of the features of a Hecke transform. This is joint work with Vincent Bouchard, Thomas Creutzig, Emanuel Diaconescu, Charles Doran and Callum Quigley.

Where: Phys 1117

Speaker: Jonathan Rosenberg (UMd)

Abstract: I will discuss some calculations of twisted K-theory for compact Lie groups

and what this has to do with D-brane charges in WZW models and rank-level duality.

This is joint work with Mathai Varghese.