Department of

# Mathematics

Seminar Calendar
for events the day of Monday, October 3, 2016.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, October 3, 2016

4:00 pm in 245 Altgeld Hall,Monday, October 3, 2016

#### The Spectrum of Signed Laplacians, or: Feuds, Coalitions, and Love Triangles

###### Lee DeVille (Department of Mathematics, University of Illinois)

Abstract: We will present results on the dynamical stability of the Laplacians of graphs that have negatively-weighted edges, and motivate these results using models of opinion formation on social networks.

4:00 pm in 241 Altgeld Hall,Monday, October 3, 2016

#### Regular isotropic fibrations

###### Rui Loja Fernandes (Illinois)

Abstract: By an isotropic fibration of a symplectic manifold we mean a fibration whose fibers are isotropic submanifolds and for which the symplectic orthogonal to the fibers is an integrable distribution. These are "non-commutative" generalizations of lagrangian fibrations: e.g, the same way an integrable system gives rise to a lagrangian fibration, a non-commutative integrable system gives rise to an isotropic fibration. In this talk I will discuss regular isotropic fibrations with compact, connected fibers, and their classification. The classification is analogous to Duistermaat's classification of regular lagrangian fibrations, but a new phenomenon appears: a symplectic gerbe.

5:00 pm in 241 Altgeld Hall,Monday, October 3, 2016

#### Quantum games II

###### Marius Junge (UIUC)

Abstract: This is part II for our proof of || repetition.