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{\Large המחלקה למתמטיקה, בן-גוריון}

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{\Huge גאומטריה אלגברית ותורת המספרים}\\[0.2\baselineskip]

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\textbf{ב}\emph{יום רביעי, 25 במאי, 2016}
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\textbf{בשעה} \emph{15:10 -- 16:30}
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\textbf{ב}\emph{Math -101}

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ההרצאה

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{\Large\bfseries Multiple Lagrangian Intersections\par}
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תינתן על-ידי
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{\large\scshape Oren Ben Bassat 
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  (Haifa)
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\textbf{תקציר:}
  Joyce and others have used shifted symplectic geometry to define
Donaldson--Thomas Invariants. This kind of geometry naturally
appears on derived moduli stacks of perfect complexes on Calabi-Yau
varieties. One wonderful feature of shifted symplectic geometry
(developed by Pantev, Toën, Vaquié and Vezzosi) is that fibre
products (i.e. intersections) of Lagrangians automatically carry
Lagrangian structures. Using a strange property of triple
intersections from arXiv:1309.0596, this extra structure can be
organized into a \$2\$-category. We discuss a partial linearization
using Joyce`s perverse sheaves. I will also talk about the relationship
of this \$2\$-category with TQFTs, algebraic versions of the Fukaya
categories and categories of Lagrangians. This is joint work
with Lino Amorim and available at \href{http://arxiv.org/abs/1601.01536}{http://arxiv.org/abs/1601.01536}
  


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