From Algebraic Geometry to Vision and AI: A Symposium Celebrating the Mathematical Work of David Mumford, June 1-2

From June 1-2, the Center of Mathematic Sciences and Applications will host a conference on From Algebraic Geometry to Vision and AI:  A Sympsosium Celebrating the Mathematical Work of David Mumford. The event will be held in room G10 of the CMSA Building (20 Garden Street).

Confirmed speakers include:

Confirmed Day 1 panel participants include:


Schedule:

Please note that the schedule for both days is currently tentative and is subject to change.

June 1, Thursday (Full day)

On Algebraic Geometry

Time Speaker Topic
9:00am – 9:05am Opening
9:05am – 9:55am János Kollár Title: Moduli spaces of algebraic varieties

Abstract: The aim of the talk is to discuss how Mumford’s works on the moduli of curves developed into the current moduli theory of higher dimensional varieties.

10:10am – 11:00am Peter Scholze Title: Relating arithmetic and geometry

Abstract: Based on computations of Galois cohomology, an analogy between the spectra of (rings of integers of) number fields and 3-manifolds has been observed in the 60’s by Mumford and others. This analogy relates in particular the absolute Galois groups of number fields with the fundamental groups of 3-manifolds. This analogy remains mysterious, but there are some isomorphisms between absolute Galois groups and fundamental groups of geometric objects, which the talk aims to summarize.

11:00am – 11:30pm Tea Break
11:30am – 12:20pm Aaron Pixton Title: The tautological ring

Abstract: The tautological ring of the moduli space of smooth curves
was introduced by Mumford in the 1980s in analogy with the cohomology of Grassmannians. I will discuss what is now known (or still unknown) about the structure of this ring.

12:20pm – 2:00pm Lunch
2:00pm – 2:50pm Burt Totaro Title: Rationality and algebraic cycles

Abstract: We survey the recent applications of the theory of algebraic cycles to the problem of determining which algebraic varieties are rational or stably rational.

3:05pm – 3:55pm Avi Wigderson Title: Invariant theory and computational complexity

Abstract: I will discuss recent work in which degree bounds on
invariant rings play an essential role in the efficiency analysis of Gurvits’ “operator scaling” algorithm (a quantum generalization of Sinkhorn’s “matrix scaling” algorithm). This algorithm is motivated from problems in algebraic complexity theory and non-commutative algebra, and turns out to have applications in optimization and analysis. Based on joint work with Garg, Gurvits and Olivera.

3:55pm – 4:25pm Tea Break
4:25pm – 5:40pm Peter Michor, L. Mahadevan, David Gu Panel on “Shape”

June 2, Friday (Full day)

Geometry, Vision, and AI

Time Speaker Topic
9:00am – 9:20am Peter Michor Space of shapes
9:20am – 9:40am Lakshminarayanan Mahadevan Shapes of biologic growth
9:40am – 10:00am David Gu Geometry and learning
10:00am – 10:20pm Tea Break
10:20am – 10:40am Jayant Shah TBA
10:40am – 11:00am Sol Garfunkel TBA
11:00am – 11:20am Bernard Saint-Donat TBA
11:20am – 11:40am Yang Wang TBA
11:40am – 12:00pm Mark Nitzberg TBA
12:00pm – 2:00pm Lunch break
2:00pm – 2:20pm Michael Miller Brain mapping
2:20pm – 2:40pm Tai Sing Lee Neuroscience
2:40pm – 3:00pm Josh Tenenbaum Cognitive AI
3:20pm – 3:40pm Agnes Desolneux Pattern theory
3:40pm – 4:00pm Peter Belhumeur Computer vision
4:00pm – 4:20pm Tea break
4:20pm – 4:40pm Stuart Geman Grammars and vision
4:40pm – 5:00pm Yingnian Wu Stat models of visual patterns and learning
5:00pm – 5:20pm Song-Chun Zhu Recent developments of cognition, robotics and AI

Organizers include:

  • David Gu, Stony Brook University
  • Yang Wang, Hong Kong University of Science and Technology
  • Shing-Tung Yau, Harvard University
  • Song-Chun Zhu, University of California, Los Angeles

To register for the event, please go here.

For a list of lodging options convenient to the Center, please visit our recommended lodgings page.

This event is jointly supported by the CMSA, National Science Foundation, and the International Science Foundation of Cambridge.

 

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