Explore the intricacies of slope detection in 3-manifolds in this comprehensive lecture by S. Boyer. Delve into key concepts including CTFW, MSLagrangian theory, and rational homology. Examine known relations, conjectures, and supporting evidence before diving into theorems and algorithms. Investigate the general conjecture of slope detection and its implications. Conclude by exploring detective slope, non-trivial intersection, and foliation detection, gaining a deeper understanding of these complex mathematical concepts.
Overview
Syllabus
Intro
Conventions
Three key players
W is CTF
W is MS
Lagrangian theory
Homomorphism
Rational homology
Known relations
Conjections
Evidence
Theorem
Algorithms
General conjecture
Slope detection
Detective slope
Non trivial intersection
foliation detection
Taught by
ICTP Mathematics
