This talk reviews recent developments in algebraic complexity theory. It outlines some major results concerning structure, completeness, closure, and lower bounds. It describes some techniques that have been central to obtaining these results, including extreme depth reduction, partial derivatives, and padding.
@InProceedings{mahajan:LIPIcs.CSL.2017.5, author = {Mahajan, Meena}, title = {{Arithmetic Circuits: An Overview}}, booktitle = {26th EACSL Annual Conference on Computer Science Logic (CSL 2017)}, pages = {5:1--5:1}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-045-3}, ISSN = {1868-8969}, year = {2017}, volume = {82}, editor = {Goranko, Valentin and Dam, Mads}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.5}, URN = {urn:nbn:de:0030-drops-76858}, doi = {10.4230/LIPIcs.CSL.2017.5}, annote = {Keywords: algebraic complexity, circuits, formulas, branching programs, determinant, permanent} }
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