PIMS Workshop on Arithmetic Topology

  • Start Date: 06/10/2019
  • End Date: 06/14/2019
Location: 

University of British Columbia

Description: 

The last 10 years have brought a burst of activity at the intersection of algebraic topology, number theory and algebraic geometry. This has led to a wealth of:

 

  • New theorems, such as Ellenberg–Venkatesh–Westerland’s proof of the Cohen–Lenstra heuristics for function fields;
  • New sources of heuristics in topology, such as Vakil–Wood’s predictions from the Grothendieck ring, or the notion and coincidences of homological densities as in Farb– Wolfson–Wood;
  • Refinements of classical enumerative theorems using modern topological tools, such as Kass–Wickelgren’s arithmetic count of the 27 lines on a cubic surface; and
  • A renewed focus on unstable homology, as in Galatius–Kupers–Randal-Williams and Miller–Wilson. We believe that these results are just the beginning of the emerging area of arithmetic topology.

  

 

This 5 day workshop will bring together junior and senior researchers from across these areas with the goal of:

1) giving participants a global view of a fast emerging and multidisciplinary area,

2) giving participants a detailed awareness on the range of methods available, and

3) emerging with a robust problem list which can help guide activity in the area for the next 5-10 years.

Organizers:

Alejandro Adem (UBC)

Craig Westerland (University of Minnesota)

Jesse Wolfson (University of California, Irvine)

Melanie Wood (Institute for Advanced Study)

Other Information: 

Conference Dates & Location:

June 10- 14, 2019

University of British Columbia

Room Location: TBC 

 

Registration:

Registration for this event iwill open in early January 2019

Particpants will be required to create a PIMS Account and return to this page to register. 

 

Accommodation:

There will be a group reservation for the Topology Workshop at UBC Ponderosa Residence. Booking details will be made available soon.

 

 

Local Information:

Local Transit: UBC is transit friendly and Bike friendly. Check information on arriving on campus by transit and getting transit tickets here; rent-a-bike to get round campus here.

Taxis: Taxis are available outside UBC Ponderosa Residence or by phone at 604-681-1111.

Local Weather: Check current conditions here.

Food Outlets and their hours of operations: On Campus; Off campus such as UBC VillagePoint Grey Village and Westbrook village offer an array of restaurants and food outlets.

On Campus Activities: UBC recreation and UBC’s top attractions.  

 

 

Contact Us: 

For logistical queries or any other concerns, please contact the PIMS Program Manager at ruths@pims.math.ca.