Sunday, July 21
SCGP: Summer Workshop 2019
When:        Mon, Jul 15    — Fri, Aug 9   
For more information please visit: http://scgp.stonybrook.edu/archives/28200
Monday, July 22
9:00am    Mathematics Summer Camp: David Kahn and Scott Sutherland - Summer Camp 2019
Where:      Math Tower 4-130When:        Mon, Jul 22    9:00am — 5:00pm
Title:          Summer Camp 2019
Speaker:   David Kahn and Scott Sutherland [Stony Brook University]

Abstract:   
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Tuesday, July 23
9:00am    Mathematics Summer Camp: David Kahn and Scott Sutherland - Summer Camp 2019
Where:      Math Tower 4-130When:        Tue, Jul 23    9:00am — 5:00pm
Title:          Summer Camp 2019
Speaker:   David Kahn and Scott Sutherland [Stony Brook University]

Abstract:   
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5:00pm    SCGP: Summer Concert Series Jazz Performance
Where:      Room 103 When:        Tue, Jul 23    5:00pm — 6:30pm
The Doxas/Ambrosio/Hart Trio Jazz Ensemble (Chet Doxas – saxophone, Dave Ambrosio – bass, Billy Hart – drums)

Reception 5 - 5:30
Concert 5:30 - 6:30
Wednesday, July 24
9:00am    Mathematics Summer Camp: David Kahn and Scott Sutherland - Summer Camp 2019
Where:      Math Tower 4-130When:        Wed, Jul 24    9:00am — 5:00pm
Title:          Summer Camp 2019
Speaker:   David Kahn and Scott Sutherland [Stony Brook University]

Abstract:   
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Thursday, July 25
9:00am    Mathematics Summer Camp: David Kahn and Scott Sutherland - Summer Camp 2019
Where:      Math Tower 4-130When:        Thu, Jul 25    9:00am — 5:00pm
Title:          Summer Camp 2019
Speaker:   David Kahn and Scott Sutherland [Stony Brook University]

Abstract:   
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Friday, July 26
9:00am    Mathematics Summer Camp: David Kahn and Scott Sutherland - Summer Camp 2019
Where:      Math Tower 4-130When:        Fri, Jul 26    9:00am — 5:00pm
Title:          Summer Camp 2019
Speaker:   David Kahn and Scott Sutherland [Stony Brook University]

Abstract:   
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4:00pm    Thesis Defense: Xuemiao Chen - Singularities of Hermitian-Yang-Mills connections and the Harder-Narasihman-Seshadri filtration
Where:      Math Tower 5-127When:        Fri, Jul 26    4:00pm — 5:00pm
Title:          Singularities of Hermitian-Yang-Mills connections and the Harder-Narasihman-Seshadri filtration
Speaker:   Xuemiao Chen [Stony Brook University]

Abstract:   
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Monday, July 29
2:00pm    SCGP: Sergei Razamat: N=1 conformal dualities
Where:      102When:        Mon, Jul 29    2:00pm — 3:00pm
Title:          N=1 conformal dualities

Abstract:    We consider on one hand the possibility that a supersymmetric N = 1 conformal gauge theory has a strongly coupled locus on the conformal manifold at which a different, dual, conformal gauge theory becomes a good weakly coupled description. On the other hand we discuss the possibility that strongly coupled theories, e.g. SCFTs in class S, having exactly marginal N = 1 deformations admit a weakly coupled gauge theory description on some locus of the conformal manifold. We present a simple algorithm to search for such dualities and discuss several concrete examples. In particular we find conformal duals for N = 1 SQCD models with G2 gauge group and a model with SU(4) gauge group in terms of simple quiver gauge theories. We also find conformal weakly coupled quiver theory duals for a variety of class S theories: T4, R0,4, R2,5, and rank 2n Minahan-Nemeschansky E6 theories. Finally we derive conformal Lagrangians for four dimensional theories obtained by compactifying the E-string on genus g > 1 surface with zero flux. The pairs of dual Lagrangians at the weakly coupled loci have different symmetries which are broken on a general point of the conformal manifold. We match the dimensions of the conformal manifolds, symmetries on the generic locus of the conformal manifold, anomalies, and supersymmetric indices. The simplicity of the procedure suggests that such dualities are ubiquitous.

2:00pm    Thesis Defense: Apratim Chakraborty - Invariants of transverse and annular links in combinatorial link Floer homology
Where:      Math Tower 5-127When:        Mon, Jul 29    2:00pm — 3:00pm
Title:          Invariants of transverse and annular links in combinatorial link Floer homology
Speaker:   Apratim Chakraborty [Stony Brook University]

Abstract:    In this dissertation, we explore the Ozsvath-Szabo-Thurston transverse invariant and various concordance invariants that could be defined using combinatorial link Floer homology. We prove that non-vanishing of the transverse invariant for a link is equivalent to non-vanishing of the invariant for certain transverse cables of that link. As an application, to these results we generate many infinite families of examples of Legendrian and transversely non-simple topological link types. Then, we give a refinement of the transverse invariant. Finally, we define an annular concordance invariant and study its properties. When specialized to braids, this invariant gives bounds on band rank. We also study the relationship of this invariant with transverse and braid monodromy properties.
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