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Great Moments of Theory at UC Berkeley (visit day edition)

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1 Great Moments of Theory at UC Berkeley (visit day edition)
Christos H. Papadimitriou

2 Complexity Before NP-completeness:
Switching and Automata Theory (Harrison) Space Complexity (Savitch-Cook) Blum Complexity P/NP-oriented automata theory (Cook) visit day

3 NP-completeness Cook, Levin, Karp [1971-2] Impact
Basis for comprehensive methodology for attacking computational problems Open-ended paradigm in Complexity Ultimate variant: PCP (later…) visit day

4 Algorithms Strassen’s matrix multiplication (1969)
Randomized algorithms (1970s) Karmarkar’s linear programming (1985) Parallel algorithms (1980s) Monte-Carlo algorithms (1990s – present) On-line algorithms (1990s) Combinatorial optimization (1970s – present) String matching algorithms and Bioinformatics (1980s –present) visit day

5 Cryptography Number theoretic complexity (Blum, Miller, Adleman, early 1970s) Public-Key Cryptography (1976) RSA (1978) Protocols (Blum 1980) Rigorous Cryptography (Blum, Goldwasser, Micali, Yao, 1982) visit day

6 Cryptography (cont.) Crypto/Complexity/Randomness (Blum - Micali, Yao 1982) Randomized encryption (Goldwasser-Micali 1982) Randomized algorithms (Karp-Luby 1983) Boosting randomness (Vazirani 1985, Zuckerman, 1989) visit day

7 …and finally: PCP Interactive protocols and proofs (1980s)
Program testing (Blum 1989) Error-correcting codes (Berlekamp) Inapproximability Probabilistically checkable proofs (Arora, Feige, Goldwasser, Lund, Lovász, Motwani, Safra, Sudan, Szegedy 1990) visit day

8 CS and the Sciences Mathematics: P vs NP
Physics: Quantum Computing (Vazirani) Physics: Phase Transitions (Sinclair) Biology: Computing the cell (Karp, Myers) Economics: The Internet as equilibrium (Papadimitriou) visit day

9 Why Berkeley? Record of past graduates Look around you
Teaching at top schools Industry ACM dissertation awards Look around you Environment Atmosphere Colleagues visit day


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