## Applied, Algebraic and Geometric Topology: 2014-2018

### Overview

Topology is a central area of mathematics, with broad interactions with many other fields as well as emerging applications to subjects such as robotics, economics, computer science and large data set analysis. The subject often is divided into its applied, algebraic and geometric constituents, each of which is a thriving subfield with interesting problems and lots of activity. However the compartmentalization of topology makes the training of students and postdocs a major challenge, as there are many common concepts and natural opportunities for cross-fertilization that are lost by emphasizing a narrow focus.

This CRG emphasizes all three aspects of topology mentioned above, providing opportunities for exploring new lines of research and for training the new generation of students and young researchers with emphasis on both depth and breadth. Recent exciting developments in topology such as the solution of the Kervaire Invariant One problem, the proof of the Virtually Haken Conjecture, as well as the emergence of algebraic topology as a tool for analyzing large data sets indicate that this is an especially opportune

time to organize thematic activities in this important discipline.

### Organizers

**CRG Organizing Committee**:

K.Bauer (Calgary)

R.Budney (Victoria)

J.Palmieri(Washington)

A.Pettet (UBC)

D.Rolfsen (UBC)

D.Sinha (Oregon)

D.Stanley (Regina).

**CRG Scientific Committee**:

A.Adem (UBC)

R.Cohen (Stanford University)

I.Hambleton (McMaster)

J.Grodal (Copenhagen)

S.Weinberger (U.Chicago)

D.Wise (McGill)

### Planned Activities:

**2014 Activities:**

- May 2014: Algebraic Topology: Methods, Computations and Science Conference (ATMCS 6) at UBC.
- July 2014: West Coast Algebraic Topology Summer School at UBC.
- Ongoing: UBC Topology Seminar

**2015 Activities:**

- April 25 to 26, 2015: Cascade Topology Seminar at UVic
- June 29-July 10, 2015: PIMS Symposium on Geometry and Topology of Manifolds at UBC.
- August 17–21, 2015: Combinatorial Constructions in Topology at URegina.
- August 24-28, 2015: PIMS Workshop on Applied Topology and High-Dimensional Data Analysis at UVic.
**2016 Activities:**- July 2016: Summer School on Surgery and Classification of Manifolds, at UCalgary.
- July 2016: West Coast Agebraic Topology Summer School at UOregon

**2017 Activities:**- June 2017: Canadian Geometry and Topology Conference.