Workshop
Braids in algebra, geometry and topology
May 22, 2017 - May 26, 2017
ICMS, 15 South College Street
Organisers
Name | Institution |
---|---|
Brendle, Tara | University of Glasgow |
Ellenberg, Jordan | University of Wisconsin |
Putman, Andrew | University of Notre Dame |
Ranicki, Andrew | University of Edinburgh |
Workshop group photographs available via our Flickr account.
Braids are a classical object of study in mathematics and physics. One often first thinks of a braid geometrically, in the sense of “plaits", with a natural group structure. Braids also describe the configuration space of points in a disk or plane; this in turn can be viewed as the space of roots of polynomials over the complex numbers. Hence braids play a prominent role in a wide variety of disciplines including knot theory and low-dimensional topology, number theory, algebraic geometry, geometric group theory, algebraic topology, and mathematical physics. Braid groups also play a huge role in many applied areas such as cryptography, robotics, fluid dynamics, and molecular biology.
The purpose of this workshop is to celebrate the breadth of the topic, with an eye on identifying common problems that admit multiple phrasings and multiple approaches. We will foster collaborations who may use algebro-geometric techniques to solve a problem in braid groups, for example, but we will also promote the use of braids as a common currency through which, say, a problem in algebraic geometry could be solved using techniques from one of the other fields listed above. Our aim is to ensure that a variety of viewpoints on the subject remains a shared experience for practitioners in a variety of fields, at all career stages.
The organisers gratefully acknowledge the financial support from the Glasgow Mathematical Journal Learning and Research Support Fund; the Heilbronn Institute for Mathematical Research, the National Science Foundation and the Edinburgh Mathematical Society.
Arrangements
Participation
- Invited participants received an email invitation from ICMS.
Venue
The workshop will be held at ICMS, 15 South College Street, Edinburgh.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Travel
Information about travel to the UK and Edinburgh is available here.
Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.
A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100. This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above).
Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.
If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre. Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre. For ICMS, use Edinburgh Waverley.
Programme
This is a provisional programme and may be subject to alteration.
You may download the abstracts for the workshop here.
Monday 22 May 2017
09:00-10:00 | Registration & coffee/tea in the Chapterhouse, Level 1 |
10:00-10:10 | Welcome/opening |
10:15-11:00 | Dan Margalit (Georgia Institute of Technology) |
11:15-12:00 | Richard Hepworth (University of Aberdeen) |
12:00-13:30 | Lunch in the Chapterhouse, Level 1 |
13:30-14:15 | Nigel Boston (University of Wisconsin-Madison) |
14:30-15:15 | Luis Paris (Université de Bourgogne) |
15:15-15:45 | Coffee/tea in the Chapterhouse, Level 1 |
15:45-16:30 | Mitchell Berger (University of Exeter) |
16:45-17:30 | Benson Farb (University of Chicago) |
17:30-19:00 | Informal wine reception in the Chapterhouse, Level 1 |
Tuesday 23 May 2017
10:00-10:45 | Eli Grigsby (Boston College) |
10:45-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:00 | David Roberts (University of Minnesota, Morris) |
12:15-13:00 | Joan Birman (Columbia University) |
13:00-14:30 | Lunch provided in the Chapterhouse, Level 1 |
14:30-15:15 | Alexandru Suciu (Northeastern University) |
15:20-16:15 | Lightning talks |
16:15-16:45 | Coffee/tea in the Chapterhouse, Level 1 |
16:45-17:30 | TN Venkataramana (Tata Institute of Fundamental Research) |
18:15-19:15 | doors open to public: 17.45 |
Wednesday 24 May 2017
10:00-10:45 | Nathalie Wahl (University of Copenhagen) |
10:45-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:00 | Craig Westerland (University of Minnesota) |
12:15-13:00 | Jean-Luc Thiffeault (University of Wisconsin) |
13:00-13.05 | Group photograph to be taken at the front entrance |
13:05 onwards | Free afternoon |
Thursday 25 May 2017
10:00-10:45 | Martin Bridson (University of Oxford) |
10:45-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:00 | Eriko Hironaka (Florida State University) |
12:15-13:00 | Ivan Marin (Université d'Amiens) |
13:00-14:30 | Lunch in the Chapterhouse, Level 1 |
14:30-15:15 | Problem session |
15:20-16:15 | Lightning talks |
16:15-16:45 | Coffee/tea in the Chapterhouse, Level 1 |
16:45-17:30 | Robert Ghrist (University of Pennsylvania) |
17:30-19:00 | Free time |
19:00 | Workshop dinner in the St Trinnean's Room, St Leonard's Hall, Pollock Halls |
Friday 26 May 2017
10:00-10:45 | Karen Vogtmann (University of Warwick) |
10:45-11:15 | Coffee/tea in the Chapterhouse, Level 1 |
11:15-12:00 | Gregor Masbaum (CNRS) |
12:15-13:00 | Dale Rolfsen (University of British Columbia) |
13.00 | Close of workshop |
You may download the abstracts for the workshop here.
Presentations:
Presentation Details | |
---|---|
Berger, Mitchell | |
Applications of braids in dynamics and solar physics | |
View Abstract | |
Birman, Joan | |
Computing distance in the curve graph | |
View Abstract | |
Boston, Nigel | |
Random Galois groups and pro-p braid groups | |
View Abstract | |
Boyd, Rachael | |
Homological stability for families of Artin groups | |
View Abstract | |
Bregman, Corey | |
Hyperelliptic graphs and the Jacobian map on outer space | |
View Abstract | |
Bridson, Martin | |
Kahler groups, RAAGs and subdirect products of surfaces | |
View Abstract | |
Chen, Lei | |
Surjective homomorphisms between surface braid groups | |
View Abstract | |
Chen, Weiyan | |
Homology of braid group with coefficients in the Burau representation | |
View Abstract | |
Damiani, Celeste | |
Loop braid groups: ubiquitous objects opening the door to a plethora of questions through different fields. | |
View Abstract | |
Farb, Benson | |
Braids, polynomials and Hilbert's (still open) 13th problem | |
View Abstract | |
Fullarton, Neil | |
Top-dimensional cohomology in the mapping class group | |
View Abstract | |
Ghaswala, Tyrone | |
Braids embedded in mapping class groups | |
View Abstract | |
Ghrist, Robert | |
Morse Theory on Spaces of Braids | |
View Abstract | |
Grigsby, Julia Elisenda | |
Braids and homology-type invariants | |
View Abstract | |
Hepworth, Richard | |
The edge of the stable range | |
View Abstract | |
Hironaka, Eriko | |
Braid actions on rational maps | |
View Abstract | |
Hubbard, Diana | |
An invariant of closed braids from the Khovanov setting | |
View Abstract | |
Knudsen, Benjamin | |
Homology of surface and graph braid groups | |
View Abstract | |
Maguire, Megan | |
Cohomology algebras of conguration spaces | |
View Abstract | |
Margalit, Dan | |
Hyperelliptic Torelli Groups: Problems and Progress | |
View Abstract | |
Marin, Ivan | |
Braids, Ties, and Hecke algebras | |
View Abstract | |
Masbaum, Gregor | |
An application of TQFT to modular representation theory | |
View Abstract | |
McLeay, Alan | |
Ivanov’s metaconjecture and complexes of regions. | |
View Abstract | |
Paris, Luis | |
Endomorphisms of the mapping class group of a non-orientable surface | |
View Abstract | |
Roberts, David | |
Monodromy of Hurwitz-Belyi maps | |
View Abstract | |
Rolfsen, Dale | |
Braids, Aut(F_n) and small volume hyperbolic 3-manifolds | |
View Abstract | |
Salter, Nick | |
Mapping class groups and monodromy of families of plane curves | |
View Abstract | |
Strenner, Balazs | |
Fast Nielsen-Thurston classification | |
View Abstract | |
Suciu, Alexandru | |
Algebraic invariants of pure braid-like groups | |
View Abstract | |
Thiffeault, Jean-Luc | |
Topological optimization with braids | |
View Abstract | |
Venkataramana, T.N. | |
Burau representation and arithmetic groups | |
View Abstract | |
Vogtmann, Karen | |
Homology stability for braid groups and mapping class groups | |
View Abstract | |
Wahl, Nathalie | |
Polynomiality for braid group representations | |
View Abstract | |
Westerland, Craig | |
Fox-Neuwirth/Fuks cells, quantum shuffle algebras, and Malle’s conjecture for function fields | |
View Abstract | |
Winarski, Becca | |
Lifting homeomorphisms of branched covers of spheres | |
View Abstract | |
Wolfson, Jesse | |
Coincidences of homological densities, predicted by arithmetic | |
View Abstract |
Participants
Name | Institution |
---|---|
Bartel, Alex | Warwick University |
Bellingeri, Paolo | Université de Caen |
Berger, Mitchell | University of Exeter |
Birman, Joan | Columbia University |
Boston, Nigel | University of Wisconsin-Madison |
Boyd, Rachael | University of Aberdeen |
Bregman, Corey | Rice University |
Brendle, Tara | University of Glasgow |
Bridson, Martin | University of Oxford |
Chen, Lei | University of Chicago |
Chen, Weiyan | University of Chicago |
Ciobanu, Laura | Heriot-Watt University |
Damiani, Celeste | Osaka City University |
Farb, Benson | University of Chicago |
Fullarton, Neil | Rice University |
Gadre, Vaibhav | University of Glasgow |
Ghaswala, Tyrone | University of Waterloo |
Ghrist, Robert | University of Pennsylvania |
Grigsby, Julia Elisenda | Boston College |
Hepworth, Richard | University of Aberdeen |
Hironaka, Eriko | Florida State University |
Hornig, Gunnar | University of Dundee |
Howie, Jim | Heriot-Watt University |
Hubbard, Diana | University of Michigan |
Jeffreys, Luke | University of Glasgow |
Kahrobaei, Delaram | City University of New York |
Kedra, Jarek | University of Aberdeen & University of Szczecin |
Knudsen, Benjamin | Harvard University |
Koberda, Thomas | University of Virginia |
Lebed, Victoria | Trinity College Dublin |
Licata, Tony | Australia National University |
Logan, Alan | University of Glasgow |
Maguire, Megan | University of Wisconsin-Madison |
Margalit, Dan | Georgia Institute of Technology |
Marin, Ivan | Université d'Amiens |
Masbaum, Gregor | CNRS |
McLeay, Alan | University of Glasgow |
Paris, Luis | Université de Bourgogne |
Putman, Andrew | University of Notre Dame |
Ranicki, Andrew | University of Edinburgh |
Roberts, David | University of Minnesota |
Rolfsen, Dale | University of British Columbia |
Salter, Nick | University of Chicago |
Strenner, Balazs | Georgia Institute of Technology |
Suciu, Alexandru | Northeastern University |
Szymik, Markus | NTNU Norwegian University of Science and Technology |
Thiffeault, Jean-Luc | University of Wisconsin |
Venkataramana, T.N. | Tata Institute of Fundamental Research |
Vogtmann, Karen | University of Warwick |
Wahl, Nathalie | University of Copenhagen |
Wemyss, Michael | University of Glasgow |
Westerland, Craig | University of Minnesota |
Winarski, Becca | University of Wisconsin-Milwaukee |
Wolfson, Jesse | The University of Chicago |