Time | Friday March 6 | Saturday March 7 | |
---|---|---|---|

9:30-10:30 | Nikita Nekrasov | ||

11:00-12:00 | Chris Beasley | Ronen Plesser | |

12:00-1:30 | lunch break | lunch break | |

1:30-2:30 | Greg Moore | Dave Morrison | |

3:00-4:00 | Cyril Closset | Wati Taylor | |

4:30-5:30 | Ilarion Melnikov | Jie Zhou | |

6:00-8:00 | reception | banquet* at Mulan |

Waltham Cool Ride 781-647-8294.

Northeastern University

Abstract:I will discuss a new class of supersymmetric Wilson loop operators in pure N=2 Yang-Mills-Chern-Simons theory. These Wilson loops preserve one supercharge on-shell and wrap arbitrary Legendrian knots in the standard contact R^3. As time permits, I will present aspects of the perturbative and non-perturbative analysis of these operators.

Lecture notes

Texas A&M

Abstract: The uplift of classical solutions of M-theory to the quantum theory will be discussed.

Simons Center

Abstract: I will discuss N=(2,2) supersymmetric gauge theories on the sphere with an Omega deformation. In particular, I will explain how to compute Omega-deformed A-type topological correlation functions of GLSMs on the sphere in purely field-theoretic terms (i.e. without relying on a target-space picture), improving on previous techniques. The resulting general formula simplifies previous results in the Abelian (toric) case, while it leads to new results for non-Abelian GLSMs.

Lecture notes

Harvard University

Abstact: I will give a general overview of recent developments in two-dimensional theories with (0,2) supersymmetry, mainly in the context of critical heterotic strings with supersymmetric vacua but also touching upon other theories and aspects of (0,2) RG flow.

Lecture notes

Rutgers University

Abstract: This talk describes the web formalism for describing instanton effects in massive d=2 N=(2,2) QFT. (The standard examples we have in mind are Landau-Ginzburg models.) The web formalism shows that these models have spaces of local operators forming L-infinity and A-infinity algebras. Certain "interactions" of BPS solitons and D-branes are described by solutions of the Maurer-Cartan equations in these algebras. Developing a theory of interfaces between different models allows one to formulate a categorified version of certain wall-crossing formulae. At the end, if time permits, I will sketch how interfaces also might be useful in formulating knot homology. This talk is really the second of a 2-part talk. The first part, aimed primarily at physicists, will be my seminar at Harvard on Thursday March 5. The second part will be aimed primarily at mathematicians. I will not assume the audience has been to part one, but I will also not dwell on the physical background motivating the formalism I will explain. Everything in these two talks is extracted from a project with Davide Gaiotto and Edward Witten.

Lecture notes

UC Santa Barbara

Abstract: The past year has seen dramatic progress in the classification of six-dimensional superconformal field theories with minimal supersymmetry. The main tool has been a detailed study of F-theory on a complex surface S which is a small neighborhood of a contractible collection of compact complex curves C_i, where the axio-dilaton profile of F-theory is specified by an elliptic fibration over S. In late 2013, it was shown that contracting the curves C_i on S yields a quotient singularity. More recently, it has been shown the F-theory constructions reproduce an intricate mathematical classification of homomorphisms $\Gamma_{E_8} \to E_8(\mathbb{R})$ where $\Gamma_{E_8}$ is the binary icosahedral group, as expected from a duality with the Horava-Witten model of the heterotic string.

Lecture notes

SCGP & IHES

Abstract: We report on progress in understanding the non-local symmetries of quantum field theory, notably gauge theory. The symmetries relate topologically distinct sectors of the field space. We study these symmetries in some detail in the context of the BPS/CFT correspondence. To this end we introduce a notion of qq-characters, which generalize the q-characters of quantum affine algebras and Yangians. We show that the qq-characters can be used to derive an infinite set of Dyson-Schwinger type relations obeyed by the supersymmetric partition functions of four dimensional gauge theory (with surface operators), containing the Knizhnik-Zamolodchikov(-Bernard) equations, and Belavin-Polyakov-Zamolodchikov equations.

Duke University

Lecture notes

MIT

Abstract: Combining the minimal model approach to complex surfaces with physical insights from F-theory provides a systematic approach to the classification of elliptic Calabi-Yau threefolds. This talk will describe these developments, including the enumeration of elliptic Calabi-Yau threefolds with large Hodge number h21. Related progress on the classification of elliptic Calabi-Yau fourfolds will also be described.

Lecture notes

Perimeter Institute

Abstract: I will talk about modularity of the generating functions of Gromov-Witten invariants of some special Calabi-Yau one, three, and perhaps two-folds. I will explain why elliptic modularity is expected in these cases and show that the generating functions are quasi-modular forms by using both A-model and B-model techniques. Some applications of the modularity will also be discussed.

The talk is based on joint works with M. Alim, E. Scheidegger, S.-T. Yau, S.-C-Lau, Y. Ruan and Y. Shen.

Lecture notes

Workshop program will be continually updated as information arrives.

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Created: Dec 2014

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Comments: lian at brandeis dot edu