GROOT Summer 2020
Welcome to the Graduates Reminisce Online On Topology (GROOT) Summer Seminar.
I care about building an equitable and accessible mathematical community. To do this, mathematicians must recognize and take action on current societal issues.
Black Lives Matter. There is more to be said and a lot of work to do. As mathematicians, we must use our skills in critical thought to further anti-racism and take action in our communities. Let's go!
Information about the seminar follows.
The goal of this online seminar is to provide a place for graduate students to share research and expository talks which might ordinarily take place at in person conferences. All incoming, current, and recently graduated grad students are welcome to participate. If you are interested in joining this seminar, please fill out this form. Responses are checked weekly so participants can join at any point during the summer.
Regular meetings occur Mondays 1 - 2 pm Eastern Time (US) with a second talk either Wednesdays at noon or Fridays at 1 pm Eastern most weeks. Schedule is dependent on interest and the time zone of the speaker.
Scheduled Talks:
Monday, May 18, 1 pm Eastern Time - Fibration theorems for TQ-completion of structured ring spectra (Niko Schonsheck part 1 part 2)
Monday, May 25, 1 pm Eastern Time - Stability in the homology of configuration spaces (Bridget Schreiner)
Monday, June 1, 1 pm Eastern Time - The May filtration on THH and faithfully flat descent (Liam Keenan part 1 part 2)
Friday, June 5, 1 pm Eastern Time - On the May Spectral Sequence (Weinan Lin)
Monday, June 8, 1 pm Eastern Time - A character theory for Tate K theory (Hari Rau-Murthy)
Wednesday, June 10, 6 pm Eastern Time Postponed to participate in #ShutDownSTEM and #Strike4BlackLives -- An introduction to topological data analysis (Yossi Bokor)
Thursday, June 11, 6 pm Eastern Time - An introduction to topological data analysis (Yossi Bokor)
Monday, June 15, 1 pm Eastern Time - An operad structure for the Goodwillie derivatives of the identity in structured ring spectra (Duncan Clark)
Friday, June 19, 1 pm Eastern Time - Knotted balls via embedding calculus (Shruthi Sridhar)
Monday, June 22, 1 pm Eastern Time - Secondary (and higher) Cohomology Operations (Colin Aitken)
Wednesday, June 24, 12 pm (noon) Eastern Time - Topology of Tiling Spaces (Sebastian Chenery video slides)
Monday, June 29, 12 pm (noon) Eastern Time - Enumeration of Forman Equivalence Classes (Andrew Tawfeek video notes)
Wednesday, July 1, 12 pm (noon) Eastern Time - Topological Hochschild Homology and MacLane Homology - a modern comparison (Maxime Ramzi)
Monday, July 6, 1 pm Eastern Time - Slice Towers of Trivial Suspensions of HF_2 over C_2 (Carissa Slone)
Friday, July 10, 1 pm Eastern Time - TMF, or: how I learned to stop worrying and love spectral algebraic geometry (Jack Davies video slides)
Monday, July 13, 1 pm Eastern Time - Picard Groups of Stable Module Categories (Richard Wong video slides)
Wednesday, July 15, 12 pm (noon) Eastern Time - The v_1-Periodic Region of the Complex-Motivic Ext (Ang Li)
Monday, July 20, 1 pm Eastern Time - Unitary functor calculus with Reality (Niall Taggart)
Wednesday, July 22, 12 pm (noon) Eastern Time - Bounding Size of Homotopy Groups of Spheres (Guy Boyde video slides)
Monday, July 27, 1 pm Eastern Time - Coarse Geometric Coherence and Colimits of Coarsely Coherent Groups (Jonathan Grossman)
Friday, July 31, 1 pm Eastern Time - A topological analysis of quasiperiodicity using persistent Künneth formulae (Hitesh Gakhar)
Monday, August 3, 1 pm Eastern Time - From Crystalline Topological Phases of Matter to Bordism (Arun Debray)
Wednesday, August 5, 12 pm (noon) Eastern Time - An Algorithm for the Computation of Reeb Graphs from Roadmaps (Sarah Percival)
Monday, August 10, 1 pm Eastern Time - RO(G)-graded cohomology for the nonabelian group of order 21 (Cherry Ng)
For speakers:
Prepare a 50 min talk with an additional 10 min for questions. Format is completely up to you, but should be Zoom and microphone friendly.
Keep in mind participants in this seminar share a wide range of research interests. Aim to include background making your main ideas follow-able and interesting to those only vaguely familiar with your topic, while also including additional detail for more knowledgeable participants.
Log on to Zoom 5-10 minutes early so we can make sure all technology is running smoothly.
If you wish to comment on or draw attention to current issues at the beginning of your talk, this is welcome. GROOT recognizes that mathematics is created by people immersed in the context of a broader civil society and does not take place within a vacuum. However, please make certain your remarks are both respectful and relatively brief as the main goal of this seminar is to facilitate graduates reminiscing online on topology.
Resources
Some mathematical organizations and resources:
The National Association of Mathematicians (NAM) - Founded in 1969, NAM seeks to promote excellence in the mathematical sciences for underrepresented american minorities in general and African-Americans in particular. Membership is open to all.
Chanda Prescod-Weinstein’s Decolonising Science Reading List
Mathematically Gifted and Black celebrates the work of Black mathematicians. I've particularly enjoyed reading on this site over the past few years.
Accelerating Systemic Change in Higher Education's has a list of articles meant to serve as a starting point for learning about equity, inclusion, diversity, and justice with a particular focus on addressing systemic anti-Black racism within STEM and higher education.
Erica Walker's book "Beyond Banneker: Black Mathematicians and the Paths to Excellence"
A google doc with email topics directed towards math organizations to consider
Reading topics participants have suggested for expository talks:
Cellular (co)sheaves and filtration of mapping spaces
Derived algebraic geometry
Discrete Morse theory
Elliptic cohomology
Equivariant homotopy theory
Factorization homology
Fleor homotopy theory
H - cobordism
Homotopy theory
Kervaire invariant problem
Motivic homotopy theory
Operadic nerves and excicsive functors (in the equivariant setting)
Rational homotopy theory
Topological cyclic homology
Topological data analysis (including multidimensional TDA)