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Abstract: Simplicial volume is an invariant of manifolds that measures how efficiently a manifold $M$ can be ``triangulated over the reals''. Introduced by Gromov, this invariant yields a non-negative real number $||M|| \geq 0$. I will discuss various topological and geometric consequences of $||M||>0$ (all of which are due to Gromov). Finally, I will present Thurston's method for showing positivity of the simplicial volume, and provide a few examples of classes of manifolds with positive simplicial volume.
This talk will be accessible to graduate students.
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