**Please note this seminar is in-person only SMRI ’What is ...?’ Seminar: ’What is ...a stable homotopy refinement of U_q(gl_m)?’ Anne Dranowski (University of Southern California) Thursday 17th August 1:00-2:00pm (AEST) Carslaw 375 Abstract: Thanks to skew Howe duality of gl_m and gl_n, the category of modules for the quantum group U_q(gl_n) can be described diagrammatically. 2-categorifying the diagrammatics produces an oriented and ’m-sheeted’ cobordism category that’s equivalent to the tangle cobordism category studied in Chen-Khovanov (2014) when n = 2. Lawson, Lipshitz and Sarkar (2019) define spectral bimodules for this latter category by mapping it to the Burnside 2-category of set-valued matrices. Piecing together we imagine a map from 2-categorified U_q(gl_m) to Burnside and a resulting map from U_q(gl_m) to the category of spectra. ---- Please join us after the seminar for SMRI afternoon tea, 2:00-2:45pm every Thursday on the SMRI Terrace (accessed through A14-04-L4.36) ---- Other upcoming SMRI events can be found here: https://mathematical-research-institute.sydney.edu.au/news-events/ SMRI YouTube Channel: https://youtube.com/@SydMathInst