# SMRI Seminar List

### Upcoming Seminars

[expand title=”More information” excerpt=”**SMRI Seminar**

**Thursday, 3 June 2021**, 15:30 –16:30

**Uri Onn, Australian National University**

*Seminar title:* Base change and representation growth of arithmetic groups

” excerptpos=”above-trigger”]*Location:* The Quadrangle S225 (University of Sydney staff, students and affiliates only) and via Zoom

*Abstract:* A group is said to have polynomial representation growth if the sequence enumerating the isomorphism classes of finite dimensional irreducible representations according to their dimension is polynomially bounded. The representation zeta function of such group is the associated Dirichlet generating series. In this talk I will focus on representation zeta functions of arithmetic groups and their properties. I will explain the ideas behind a proof of a variant of the Larsen-Lubotzky conjecture on the representation growth of arithmetic lattices in high rank semisimple Lie groups (joint with Nir Avni, Benjamin Klopsch and Christopher Voll) and analogous results for arithmetic groups of type A_2 in positive characteristic (joint with Amritanshu Prasad and Pooja Singla).

*Registration:* Zoom meeting link[/expand]

[expand title=”More information” excerpt=”**SMRI Seminar**

**Thursday, 10 June 2021**, 15:30 –16:30

**Behrouz Taji, University of Sydney**

*Seminar title:* Projective families of varieties through birational geometry and Hodge theory

” excerptpos=”above-trigger”]*Location:* The Quadrangle S227 (University of Sydney staff, students and affiliates only) and via Zoom

*Abstract:* In the 1920s, building on Fermat’s Last Theorem, Mordell conjectured that the set of rational points of any smooth projective curve of genus at least two, over any number field, is finite. In the 1960s, Shafarevich turned this into a purely algebro-geometric conjecture involving families of smooth projective curves. Parshin, Arakelov and Faltings settled this conjecture by showing that the base spaces of such families are in some sense hyperbolic, as long as there is some variation in the algebraic structure of the fibers. Inspired by recent advances in birational geometry, Kebekus and Kovacs conjectured that these hyperbolicity type properties should hold for a vast class of projective families, with fibers of arbitrary dimension. In this talk I will discuss this conjecture and my solution to it. I will also talk about more recent progress in this area, based on a joint work with Kovacs (University of Washington).

*Registration:* Zoom meeting link[/expand]

[expand title=”More information” excerpt=”**SMRI Algebra and Geometry Online**

**Thursday, 17 June 2021**, 15:30 –17:00

**Magdalena Boos, Ruhr University Bochum**

*Seminar title:* TBA

” excerptpos=”above-trigger”]*Location:* The Quadrangle S227 (University of Sydney staff, students and affiliates only) and via Zoom

*Abstract:* TBA

*Registration:* Link to come[/expand]

### Past seminars

[expand title=”View seminar” excerpt=”**SMRI Seminar**

**Thursday, 20 May 2021**, 15:30 –16:30

**Stephan Tillmann, University of Sydney**

*Seminar title:* On the space of properly convex projective structures

” excerptpos=”above-trigger”]**Abstract:** This talk will be in two parts. I will outline joint work with Daryl Cooper concerning the space of holonomies of properly convex real projective structures on manifolds whose fundamental group satisfies a few natural properties. This generalises previous work by Benoist for closed manifolds. A key example, computed with Joan Porti, is used to illustrate the main results.

**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Applied Mathematics Seminar**

**13 May 2021**

**Reinout Quispel, La Trobe University**

*Seminar title:* How to discover properties of differential equations, and how to preserve those properties under discretization

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**6 May 2021**

**Shun-Jen Cheng, Institute of Mathematics, Academia Sinica**

*Seminar title:* Representation theory of exceptional Lie superalgebras

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Seminar**

**22 April 2021**

**Marcy Robertson, University of Melbourne**

*Seminar title:* Expansions, completions and automorphisms of welded tangled foams

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Applied Mathematics Seminar**

**15 April 2021**

**Yury Stepanyants, University of Southern Queensland**

*Seminar title:* The asymptotic approach to the description of two dimensional soliton patterns in the oceans

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Double Header Seminar**

**8 April 2021**

**Adam Piggott, Australian National University & Murray Elder, University of Technology Sydney**

*Seminar title:* Geodesics in Groups

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**26 February 2021**

**Monica Nevins, University of Ottawa**

*Seminar title:* Characters and types: the personality of a representation of a p-adic group, revealed by branching to its compact open subgroups

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**9 December 2020**

**Minhyong Kim, University of Warwick**

*Seminar title:* Recent progress on the effective Mordell problem

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**26 October 2020**

**Peng Shan, Tsinghua University**

*Seminar title:* Coherent categorification of quantum loop sl(2)

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**4 August 2020**

**Sam Raskin, The University of Texas at Austin**

*Seminar title:* Tate’s thesis in the de Rham setting

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**6 July 2020**

**Eugen Hellmann, University of Münster**

*Seminar title:* On the derived category of the Iwahori-Hecke algebra

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**25 June 2020**

**Victor Ostrik, University of Oregon**

*Seminar title:* Incompressible symmetric tensor categories

” excerptpos=”above-trigger”]**YouTube video**[/expand]

[expand title=”View seminar” excerpt=”**SMRI Algebra and Geometry Online**

**4 June 2020**

**David Ben-Zvi, The University of Texas at Austin**

*Seminar title:* Boundary conditions and Hamiltonian actions in geometric Langlands

” excerptpos=”above-trigger”]**YouTube video**[/expand]

- Interview with Jessica Fintzen - 2024 March 25
- “Geometry: the archetype of beauty” public lecture and photo gallery - 2024 March 15
- Perspectives on Mathematics special semester 2024 - 2024 February 20