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{\Large Department of Mathematics, BGU}

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{\Huge AGNT}\\[0.2\baselineskip]

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\textbf{On} \emph{Wednesday, June 12, 2019}
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\textbf{At} \emph{15:10 -- 16:25}
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\textbf{In} \emph{-101}

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{\large\scshape Mattia Ornaghi  
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  (HUJI)
}
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will talk about
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{\Large\bfseries Localizations of the category of A\_\{\textbackslash{}infty\}-categories and Internal Homs (Part II).\par}
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\textsc{Abstract:}
In this second talk we prove that the localizations of the categories of dg categories, of cohomologically unital and strictly unital A\_\textbackslash{}inftycategories with respect to the corresponding classes of quasi-equivalences are all equivalent. As an application, we give a complete proof of a claim by Kontsevich stating that the category of internal Homs for two dg categories can be described as the category of strictly unital A\_\textbackslash{}inftyfunctors between them. This is a joint work with Prof. A. Canonaco and Prof. P. Stellari arXiv:1811.07830.








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