### Programme of the Pure Mathematics Colloquium

The colloquium takes place on Thursdays at 4pm in Theatre C of the Mathematical Institute (unless indicated otherwise).

• 28th Sept, 2017: Dalia Terhesiu (Exeter)
Title: Renewal sequences in Markov chains and dynamical systems
Abstract: In the first part of the talk I recall the notion of renewal sequences associated with Markov chains and explain the connection with mixing. In the second part of the talk I discuss how renewal sequences can be understood in the context of (deterministic) dynamical systems, including dynamical systems with infinite measure, and summarise some recent result on mixing.
• 5th Oct, 2017: Sophie Huczynska (St Andrews)
Title: TBA
Abstract: TBA
• 12th Oct, 2017: Vaibhav Gadre (Glasgow)
Title: Pseudo-Anosov maps with small entropy and the curve complex
Abstract: The mapping class group of an orientable surface (of finite type) is the group or orientation preserving diffeormorphisms of the the surface modulo isotopy. There are three types of mapping classes (Thurston classification): finite order, reducible and pseudo-Anosov genearlising the classification for modular group $SL(2,\mathbb{Z})$. From multiple perspectives, pseudo-Anosov maps are the most interesting type. This talk will survey the theory of pseudo-Anosov maps with small entropy. It will subsequently focus on deriving bounds in terms of genus for a particular notion of entropy: "translation distance in the curve complex". The main result is joint work with Chia-yen Tsai.
• 19th Oct, 2017: DOUBLE BILL:
Tara Brough (Nova de Lisboa)
Title: TBA
Abstract: TBA
Michael Giudici (Western Australia)
Title: TBA
Abstract: TBA
• 2nd Nov, 2017: Daniel Meyer (Liverpool)
Title: TBA
Abstract: TBA
• 9th Nov, 2017: Sarah Hart (Birkbeck)
Title: TBA
Abstract: TBA
• 14th Nov, 2017: Joint Analysis Seminar and Pure Mathematics Colloquium, 3-4pm Room 1A
Christian Berg (Copenhagen)
Title: TBA
Abstract: TBA
• 16th Nov, 2017: Viveka Erlandsson (Bristol)
Title: TBA

• 23rd Nov, 2017: Anitha Thillaisundaram (Lincoln)
Title: TBA
Abstract: TBA
Past colloquia can be found here.