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{\Large Department of Mathematics, BGU}

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\textbf{On} \emph{Wednesday, January 14, 2026}
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\textbf{At} \emph{14:10 -- 15:10}
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\textbf{In} \emph{201}

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{\large\scshape Hollis Williams  
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  (Okinawa)
}
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will talk about
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{\Large\bfseries Nonabelian Surface Holonomy from Multiplicative Integration (online meeting)\par}
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\textsc{Abstract:}
Surface holonomy and the Wess–Zumino phase are fundamental in string theory and Chern–Simons theory, but giving a fully analytic description of their nonabelian versions has been a longstanding challenge.  In this talk, I will explain how Yekutieli’s theory of nonabelian multiplicative integration on surfaces provides such a framework.  The starting point is a smooth 2-connection (α,β) on a Lie crossed module. I will describe how one constructs multiplicative integrals associated to this data, and then show that these integrals satisfy the axioms of a transport 2-functor in the sense of Schreiber and Waldorf, providing an explicit model of nonabelian surface holonomy.  I will conclude by discussing the resulting three-dimensional Stokes theorem and its relation to the Wess–Zumino phase, including the abelian case as a special instance.








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