| Time: |  12:00 - 13:20   | 
| Room: |  
Scaife Hall 219
 | 
| Speaker: |  
Peter Lumsdaine     Department of Mathematical Sciences Carnegie Mellon University  | 
| Title: |  
Sheaves III
 | 
| Abstract: | Last week, we looked at how to model (intuitionistic) first-order logic in sheaves on a space (generalising the usual way we do so in sets). This week, we'll extend this to modelling (some) analysis, and use this to give an independence result: in constructive analysis, there can exist a Cauchy sequence of rationals with no modulus of convergence. |