"Traditional", or "commutative", public-key cryptography has not come up 
with brand new ideas for a while. At the same time, there is an abundance 
of new ideas in the emerging "noncommutative", or "combinatorial", cryptography.
However, "traditional" cryptographers are not eager to welcome these ideas
and, moreover, in the last 2-3 years they opted to altogether boycott them. 
One of the reasons is that security models established in "traditional" cryptography
are not applicable in "combinatorial" cryptography; there are other reasons as well. 
In my talk, I will discuss possible resolutions of this situation.