Character varieties, E-polynomials and Representation zeta functions
This workshop is directed at undergraduates, PhD students and young researchers in Australia, New Zealand and around the world. Registration is required.
Cost
Registration closes Friday 11 February 2022 at 1pm AEDT. Please note the Zoom links and other required materials for this event will be sent to the email used to register. To register after this time, please email admin.research.msi@anu.edu.au and you will be emailed within 1 business day with information.
Contact
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RegisterDescription
An instructional research workshop
This event has ended. However, if you would like access to the recordings, please contact Administration with the contact details on the Contacts page.
Recently there has been substantial interest in using ideas from p-adic and motivic integration to study the interplay between geometric and arithmetic aspects of moduli spaces such as character varieties, Higgs bundles and quiver varieties. The geometric invariants associated with these moduli spaces are governed by topological quantum field theories. Arithmetic methods can be used to study these invariants by relating them to the representation theory of finite groups of Lie type and point counting over finite fields. These techniques reveal an intimate relation to the theory of symmetric polynomials and have found applications in mirror symmetry and the Langlands program.
This instructional workshop is focused on the above circle of ideas and is directed primarily at postgraduate students and early career researchers in Australia and New Zealand. The aim is to bring together experts working in these research areas and create an opportunity for fruitful interactions.
Program
The event will feature four mini-courses:
1. Arithmetic geometry and representation varieties (Masoud Kamgarpour, UQ)
2. Topological quantum field theory and character varieties (Pedram Hekmati, Auckland)
3. Representation zeta functions (Uri Onn, ANU)
4. Moduli space of Higgs bundles (David Baraglia, Adelaide)
Research talks
This workshop will also consist of 3 research talks.
Speakers
Marina Logares (Universidad Complutense de Madrid)
Michael Groechenig (University of Toronto)
Nir Avni (Northwestern University)
Michele Zordan (Imperial College)
Program Schedule, Titles, and Abstracts
The program schedule can be viewed here (PDF 286KB).
The titles and abstracts can be viewed here (PDF 49KB).
Please note registration is required to attend this conference. To register, please go to the registration tab and follow the instructions.
Speakers and Organising Committee
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David Baraglia (University of Adelaide)
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Pedram Hekmati (University of Auckland)
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Masoud Kamgarpour (University of Queensland)
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Uri Onn (Australian National University)
Code of conduct
The Mathematical Sciences Institute (MSI) Special Year is committed to ensuring all workshops, conferences and seminars are accessible to a diverse range of participants. We aim to create a safe, respectful and supportive environment to allow free flow of information, discussions and ideas. All staff and students have the right to be treated with courtesy, fairness and professionalism. Discriminatory or harassing behaviour will not be tolerated.
An essential part of maintaining a safe and respectful work environment is to ensure that individuals report any witnessed or experienced discrimination or harassment to the organisers, or to a member of the MSI staff. If you would like to contact the department anonymously, please email admin.research.msi@anu.edu.au.
We ask all participants to review the ANU Code of Conduct and maintain the principles of the document for the duration of the workshop.
Location
This event will be held online (Zoom). Details will be sent to the email used for registration.
General information
Information about Canberra, transportation, accommodation, etc.
This event will be held online.
Please note registration is required to attend.
About Canberra
Canberra is located in the Australian Capital Territory, on the ancient lands of the Ngunnawal people, who have lived here for over 20,000 years. Canberra’s name is thought to mean ‘meeting place’, derived from the Aboriginal word Kamberra. European settlers arrived in the 1830s, and the area won selection by ballot for the federal capital in 1908. Since then the ‘Bush Capital’ has grown to become the proud home of the Australian story, with a growing population of around 390,000.
Canberra hosts a wide range of tourist attractions, including various national museums, galleries and Parliament House, as well as beautiful parks and walking trails. Several attractions are within walking distance of the ANU campus, including the National Museum of Australia and the Australian National Botanic Gardens. Canberra is also a fantastic base from which to explore the many treasures of the surrounding region, including historic townships, beautiful coastlines and the famous Snowy Mountains. Learn more about what to do and see during your stay in Canberra.
Travel
Please be advised that the Australian border is closed for the foreseeable future. The only people who can travel to Australia are:
- Australian citizens
- permanent residents
- immediate family members
- travellers who have been in New Zealand for at least the 14 days before the date of departure. This does not include the Realm Countries of the Cook Islands and Niue.
For further up to date information, including eligibility to enter Australia, please visit https://covid19.homeaffairs.gov.au/coming-australia
Transportation
There are many ways to get around Canberra. Below is some useful information about Bus & Taxi transport around the ANU, the Airport and surrounding areas.
Taxi
If you are catching a taxi or Uber to the ANU Mathematical Sciences Institute, ask to be taken to Building #145, Science Road, ANU. We are located close to the Ian Ross Building and the ANU gym. A Taxi from the airport will usually cost around $40 and will take roughly 15 minutes. Pricing and time may vary depending on traffic.
Phone Canberra Elite Taxis on 13 22 27 to book a taxi.
Buses
Canberra buses are a cheap and easy way of getting around town once you're here. View bus services and fares information on the Transport Canberra website.
To travel just use your MyWay card or pay a cash fare to the driver when boarding. A single adult trip when paying cash will cost $4.80 with cheaper fares for students and children. Significant savings can be made when travelling with MyWay. View MyWay and Fares information.
Canberra Airport
The ACT government has implemented a public bus service from the CBD via the Canberra Airport via bus Route 3, seven days a week.
For more information about the buses to Canberra airport, click here.
Accommodation
Below are some accommodation options for your visit to Canberra.