Speaker: Kenneth Falconer, University of St Andrews

Time : 15:00 - 16.00 CET (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

Zoom :  A zoom meeitng link will appear here, one hour before the talk

Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: Fractal, Dimension

Abstract: Dimensions are central tools in fractal geometry, with Hausdorff dimension and box-counting dimensions probably the best known. We will show that Hausdorff and box dimensions may be regarded as the extremes of a continuum of dimensions, called Intermediate Dimensions. In recent years a substantial body of theory has developed on the topic with contributions from several researchers. The talk will describe some of the main aspects of intermediate dimensions and will be illustrated by examples.

Biography: Kenneth Falconer took his undergraduate and PhD degrees at the University of Cambridge. Since then he has held positions at Cambridge and Bristol and has been Professor of Pure Mathematics at the University of St Andrews since 1993. In 2017 he was appointed Regius Professor of Mathematics. He has written 5 books and over 130 papers, mainly on aspects of fractal geometry. He is a Fellow of the Royal Society of Edinburgh and was awarded the Shephard Prize of the London Mathematical Society in 2020, and was awarded a CBE for Services to Mathematics in 2024.

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