Seminars & Colloquia Calendar

Download as iCal file

Graduate Pizza Seminar

P vs. NP: the million-dollar question

Matthew Hohertz -- Rutgers University

Location:  GSL
Date & time: Friday, 06 April 2018 at 1:40PM - 2:40PM

Abstract: Still open eighteen years after the Clay Institute offered $1 million for its solution, the P vs. NP problem poses a simply-stated question: Can we quickly solve a mathematical problem if we can quickly verify a proposed solution to the same problem? We begin this seminar by introducing the basic structures of complexity theory, including Turing machines and decision problems. After phrasing the P vs. NP problem rigorously, we examine some common proof techniques of complexity theory and prove the undecidability of P vs. NP under their underlying assumptions alone. Finally, we discuss NP-complete problems — the "hardest" of all NP problems — and the intimate (and perhaps surprising) ties between their solutions and the answer to the broader P vs. NP problem.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.