High dimensional cohomology of moduli spaces
University of Copenhagen
28 June - 2 July 2021
In this Masterclass, we will learn about the high dimensional cohomology of moduli spaces such as the moduli space of curves, graphs, and lattices. These moduli spaces are classifying spaces of groups such as mapping class groups, automorphism groups of free groups, and arithmetic groups. We will learn about duality groups whose high dimensional cohomology of these moduli spaces is related to the low degree homology groups with twisted coefficients. We will also discuss graph homology and tropical curves.
The masterclass is aimed at advanced graduate students and postdocs with an interest in algebraic topology and geometric group theory. Connections with algebraic geometry and number theory will be mentioned but this is not the primary focus.
Junior participants from US institutes can indicate to be considered for financial support.
Please note: Due to a match of the UEFA Euro 2020 in Copenhagen on June 28, 2021, the Copenhagen Jazz Festival starting on July 2, 2021, and other events, there will limited accommodation available in Copenhagen. We advise to book accommodation early.
Lecturers (three lectures each)
Tara Brendle (University of Glasgow)
Kai-Uwe Bux (University of Bielefeld)
Søren Galatius (University of Copenhagen)
Jennifer Wilson (University of Michigan)
Speakers (individual talks)
Benjamin Brück (ETH Zürich)
Mikala Ørsnes Jansen (University of Copenhagen)
Robin Sroka (University of Copenhagen)
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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Coffee |
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9:30-10:30 |
Wilson |
Galatius |
Bux |
Galatius |
Brendle |
10:45-11:45 |
Jansen |
Sroka |
Problem Session |
Jansen |
Galatius |
Lunch |
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13:30-14:30 |
Bux |
Brendle |
Bruck |
Bux |
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14:45-15:45 |
Brendle |
Wilson |
Wilson |
Exercise |
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Coffee |
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16:15-17:15 |
Exercise |
Exercise |
Exercise |
The conference/masterclass will take place at the Department of Mathematical Sciences, University of Copenhagen. See detailed instructions on how to reach Copenhagen and the conference venue.
Tickets and passes for public transportation can be bought at the Copenhagen Airport and every train or metro station. You can find the DSB ticket office on your right-hand side as soon as you come out of the arrival area of the airport. DSB has an agreement with 7-Eleven, so many of their shops double as selling points for public transportation.
A journey planner in English is available.
More information on the "find us" webpage.
We kindly ask the participants to arrange their own accommodation.
We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen. Other inexpensive alternatives are CabInn, which has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandivania (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive – and still recommended – options are Hotel Nora and Ibsen's Hotel.
An additional option is to combine a stay at the CabInn Metro Hotel with a pass for Copenhagen public transportation (efficient and reliable). See information about tickets & prices.
Please register by May 31, 2021. If you are at a US institute and want to be considered for financial support, please register by April 30, 2021.
Jesper Grodal (University of Copenhagen)
Jeremy Miller (Purdue University)
Peter Patzt (Unversity of Copenhagen/University of Oklahoma)
Nathalie Wahl (University of Copenhagen)