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# Claremont Topology Seminar: Will Hoffer (UC Riverside)

## October 22 @ 3:00 pm - 4:30 pm

We welcome all undergraduate/graduate students and faculty to attend topology seminar!

Speaker: Will Hoffer (UC Riverside)

Title: Tube Formulae for Fractal Snowflakes

Abstract: Fractals like the von Koch snowflake have rough boundaries, often having nowhere defined tangent lines/spaces. However, there is a tool useful for probing the edges of such fractals: tubular neighborhoods. In this talk, we’ll introduce the theory of fractal tube formulae which describe the volumes of such tubular neighborhoods, illustrating through our recent work on generalized fractal snowflakes. In the process, we’ll touch on the theory of complex dimensions and tubular zeta functions that capture the (multiplicative) oscillations appearing in the geometry of fractals.