Department of Mathematics Calendar

Back to Listing

The Department of Mathematics Calendar has moved to Webtools. Anyone may submit an event by clicking the "+" button (upper right). Note: the Sponsor field is required. Just type "n/a"

All events will be reviewed before acceptance. Please email Shelby Koehne if you have any questions about submitting an event.

Note: you may search past and future events by clicking on the magnifying glass icon on the main Calendar page.

For an archive of past events: https://math.illinois.edu/research/seminars-department-calendar

GGD/GEAR/Quantum Topology Seminar: The k-local Cohomology Problem and the Complexity of Supersymmetric Systems

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Jan 27, 2022   12:00 - 1:00 pm   Central
Speaker
Marcos Crichigno
Contact
Eric Samperton
E-Mail
smprtn@illinois.edu
Views
47

I will discuss various aspects on the interplay of supersymmetry, quantum computation, and computational topology. After introducing some basic elements of supersymmetric quantum mechanics and elements of quantum complexity theory, I will show that the determining the computational complexity of various problems in computational topology/cohomology amounts to determining the Hamiltonian complexity of supersymmetric systems. In particular, studying the k-local Hamiltonian problem for supersymmetric systems will lead us to define the problem “k-local cohomology” and I will show that its complexity lies somewhere between QMA_1 and QMA. This reveals that many problems in computational topology/cohomology are intrinsically quantum mechanical. No prior knowledge of supersymmetry or cohomology will be assumed.

https://illinois.zoom.us/j/88160873184?pwd=azZzdkFLUjhRWlY5TnA0TWFOdWZ1UT09

Meeting ID: 881 6087 3184

Password: PSL27

link for robots only